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13102211212332 = 223112353202712611
BaseRepresentation
bin1011111010101001100010…
…1001010010010000101100
31201101120002121221002121020
42332222120221102100230
53204131312032243312
643511023413334140
72521414002515154
oct276523051222054
951346077832536
1013102211212332
1141a1686723400
121577368037350
137406c1623b08
14334216a01764
1517ac42aa578c
hexbea98a5242c

13102211212332 has 144 divisors (see below), whose sum is σ = 33718236080256. Its totient is φ = 3956852556800.

The previous prime is 13102211212327. The next prime is 13102211212361. The reversal of 13102211212332 is 23321211220131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1038944707 + ... + 1038957317.

It is an arithmetic number, because the mean of its divisors is an integer number (234154417224).

Almost surely, 213102211212332 is an apocalyptic number.

13102211212332 is a gapful number since it is divisible by the number (12) 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 13102211212332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16859118040128).

13102211212332 is an abundant number, since it is smaller than the sum of its proper divisors (20616024867924).

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

13102211212332 is a wasteful number, since it uses less digits than its factorization.

13102211212332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15020 (or 15007 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13102211212332 its reverse (23321211220131), we get a palindrome (36423422432463).

The spelling of 13102211212332 in words is "thirteen trillion, one hundred two billion, two hundred eleven million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 353 363 484 706 726 1059 1412 1452 2027 2118 3883 4054 4236 6081 7766 8108 11649 12162 12611 15532 22297 23298 24324 25222 37833 42713 44594 46596 50444 66891 75666 85426 89188 128139 133782 138721 151332 170852 245267 256278 267564 277442 416163 490534 512556 554884 715531 735801 832326 981068 1431062 1471602 1525931 1664652 2146593 2862124 2943204 3051862 4293186 4451683 4577793 6103724 7870841 8586372 8903366 9155586 13355049 15741682 17806732 18311172 23612523 25562497 26710098 31483364 47225046 48968513 51124994 53420196 76687491 86579251 94450092 97937026 102249988 146905539 153374982 173158502 195874052 259737753 281187467 293811078 306749964 346317004 519475506 538653643 562374934 587622156 843562401 1038951012 1077307286 1124749868 1615960929 1687124802 2154614572 3093062137 3231921858 3374249604 6186124274 6463843716 9023561441 9279186411 12372248548 18047122882 18558372822 27070684323 36094245764 37116745644 54141368646 99259175851 108282737292 198518351702 297777527553 397036703404 595555055106 1091850934361 1191110110212 2183701868722 3275552803083 4367403737444 6551105606166 13102211212332