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102013012331132 = 22773263565133581
BaseRepresentation
bin10111001100011111000001…
…010111001100101001111100
3111101012100102020011021211212
4113030133001113030221330
5101332340122124044012
61000544044135103552
730326124354503630
oct2714370127145174
9441170366137755
10102013012331132
112a560525a94a31
12b53697b511bb8
1344bca2a4a8926
141b2965591adc0
15bbd8d4d37b22
hex5cc7c15cca7c

102013012331132 has 96 divisors (see below), whose sum is σ = 207650214503424. Its totient is φ = 42948121536000.

The previous prime is 102013012331123. The next prime is 102013012331203. The reversal of 102013012331132 is 231133210310201.

It is a junction number, because it is equal to n+sod(n) for n = 102013012331098 and 102013012331107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3037802582 + ... + 3037836162.

It is an arithmetic number, because the mean of its divisors is an integer number (2163023067744).

Almost surely, 2102013012331132 is an apocalyptic number.

It is an amenable number.

102013012331132 is an abundant number, since it is smaller than the sum of its proper divisors (105637202172292).

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

102013012331132 is a wasteful number, since it uses less digits than its factorization.

102013012331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39579 (or 39577 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 102013012331132 its reverse (231133210310201), we get a palindrome (333146222641333).

The spelling of 102013012331132 in words is "one hundred two trillion, thirteen billion, twelve million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 73 146 263 292 511 526 1022 1052 1841 2044 3682 5651 7364 11302 19199 22604 33581 38398 39557 67162 76796 79114 134324 134393 158228 235067 268786 412523 470134 537572 825046 940268 1486213 1650092 2451413 2887661 2972426 4902826 5775322 5944852 8831803 9805652 10403491 11550644 17159891 17663606 20806982 34319782 35327212 41613964 61822621 68639564 108493549 123645242 189766231 216987098 247290484 379532462 433974196 644721619 759064924 759454843 1289443238 1328363617 1518909686 2578886476 2656727234 3037819372 4513051333 5313454468 9026102666 13852934863 18052205332 27705869726 49908518753 55411739452 96970544041 99817037506 193941088082 199634075012 349359631271 387882176164 698719262542 1397438525084 3643321868969 7286643737938 14573287475876 25503253082783 51006506165566 102013012331132