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132032103311024 = 247291672341103979
BaseRepresentation
bin11110000001010100011110…
…100111011110011010110000
3122022111010221021220022102022
4132001110132213132122300
5114301203221421423044
61144450413320211012
736545001413642510
oct3601243647363260
9568433837808368
10132032103311024
1139084556281814
1212984858309a68
13588975cb8b587
142486560565840
15103e6d0b6d3ee
hex78151e9de6b0

132032103311024 has 160 divisors (see below), whose sum is σ = 304381968307200. Its totient is φ = 54283104046080.

The previous prime is 132032103311023. The next prime is 132032103311039. The reversal of 132032103311024 is 420113301230231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132032103310984 and 132032103311002.

It is not an unprimeable number, because it can be changed into a prime (132032103311023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1269743867 + ... + 1269847845.

It is an arithmetic number, because the mean of its divisors is an integer number (1902387301920).

Almost surely, 2132032103311024 is an apocalyptic number.

132032103311024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132032103311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152190984153600).

132032103311024 is an abundant number, since it is smaller than the sum of its proper divisors (172349864996176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132032103311024 is a wasteful number, since it uses less digits than its factorization.

132032103311024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106531 (or 106525 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 132032103311024 its reverse (420113301230231), we get a palindrome (552145404541255).

The spelling of 132032103311024 in words is "one hundred thirty-two trillion, thirty-two billion, one hundred three million, three hundred eleven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 167 203 232 334 406 464 668 812 1169 1336 1624 2338 2341 2672 3248 4676 4682 4843 9352 9364 9686 16387 18704 18728 19372 32774 33901 37456 38744 65548 67802 67889 77488 103979 131096 135604 135778 207958 262192 271208 271556 390947 415916 475223 542416 543112 727853 781894 831832 950446 1086224 1455706 1563788 1663664 1900892 2736629 2911412 3015391 3127576 3801784 5473258 5822824 6030782 6255152 7603568 10946516 11337463 11645648 12061564 17364493 21107737 21893032 22674926 24123128 34728986 42215474 43786064 45349852 48246256 69457972 79362241 84430948 90699704 121551451 138915944 158724482 168861896 181399408 243102902 243414839 277831888 317448964 337723792 486205804 486829678 503570297 634897928 972411608 973659356 1007140594 1269795856 1703903873 1944823216 1947318712 2014281188 3407807746 3524992079 3894637424 4028562376 6815615492 7049984158 7059030331 8057124752 13631230984 14099968316 14118060662 27262461968 28199936632 28236121324 40650278113 49413212317 56399873264 56472242648 81300556226 98826424634 112944485296 162601112452 197652849268 284551946791 325202224904 395305698536 569103893582 650404449808 790611397072 1138207787164 1178858065277 2276415574328 2357716130554 4552831148656 4715432261108 8252006456939 9430864522216 16504012913878 18861729044432 33008025827756 66016051655512 132032103311024