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101232503352 = 23394314951
BaseRepresentation
bin101111001000111101…
…1010110101000111000
3100200022001211000000000
41132101323112220320
53124311010101402
6114301111513000
710212431036511
oct1362173265070
9320261730000
10101232503352
1139a29122112
1217752688760
139713c74476
144c84a11a08
152977545c1c
hex1791ed6a38

101232503352 has 160 divisors (see below), whose sum is σ = 291352279680. Its totient is φ = 32957215200.

The previous prime is 101232503299. The next prime is 101232503357. The reversal of 101232503352 is 253305232101.

It is a happy number.

101232503352 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 325 + 0 + 335 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101232503357) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6763477 + ... + 6778427.

It is an arithmetic number, because the mean of its divisors is an integer number (1820951748).

Almost surely, 2101232503352 is an apocalyptic number.

101232503352 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 101232503352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145676139840).

101232503352 is an abundant number, since it is smaller than the sum of its proper divisors (190119776328).

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

101232503352 is an frugal number, since it uses more digits than its factorization.

101232503352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15027 (or 14999 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 101232503352 its reverse (253305232101), we get a palindrome (354537735453).

The spelling of 101232503352 in words is "one hundred one billion, two hundred thirty-two million, five hundred three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 243 258 324 344 387 486 516 648 729 774 972 1032 1161 1458 1548 1944 2187 2322 2916 3096 3483 4374 4644 5832 6561 6966 8748 9288 10449 13122 13932 14951 17496 19683 20898 26244 27864 29902 31347 39366 41796 44853 52488 59804 62694 78732 83592 89706 94041 119608 125388 134559 157464 179412 188082 250776 269118 282123 358824 376164 403677 538236 564246 642893 752328 807354 846369 1076472 1128492 1211031 1285786 1614708 1692738 1928679 2256984 2422062 2571572 3229416 3385476 3633093 3857358 4844124 5143144 5786037 6770952 7266186 7714716 9688248 10899279 11572074 14532372 15429432 17358111 21798558 23144148 29064744 32697837 34716222 43597116 46288296 52074333 65395674 69432444 87194232 98093511 104148666 130791348 138864888 156222999 196187022 208297332 261582696 294280533 312445998 392374044 416594664 468668997 588561066 624891996 784748088 937337994 1177122132 1249783992 1406006991 1874675988 2354244264 2812013982 3749351976 4218020973 5624027964 8436041946 11248055928 12654062919 16872083892 25308125838 33744167784 50616251676 101232503352