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102231321312 = 25317471332803
BaseRepresentation
bin101111100110101110…
…1100010101011100000
3100202212200021012122210
41133031131202223200
53133332204240222
6114544152002120
710246246615311
oct1371535425340
9322780235583
10102231321312
113a3a0a088aa
1217991090340
139842b89603
144d3b532608
1529d5091d0c
hex17cd762ae0

102231321312 has 96 divisors (see below), whose sum is σ = 290188749312. Its totient is φ = 31390152704.

The previous prime is 102231321299. The next prime is 102231321317. The reversal of 102231321312 is 213123132201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1022313213123 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102231321317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589698 + ... + 743105.

It is an arithmetic number, because the mean of its divisors is an integer number (3022799472).

Almost surely, 2102231321312 is an apocalyptic number.

102231321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102231321312 is an abundant number, since it is smaller than the sum of its proper divisors (187957428000).

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

102231321312 is a wasteful number, since it uses less digits than its factorization.

102231321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332880 (or 1332872 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102231321312 its reverse (213123132201), we get a palindrome (315354453513).

The spelling of 102231321312 in words is "one hundred two billion, two hundred thirty-one million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 68 94 96 102 136 141 188 204 272 282 376 408 544 564 752 799 816 1128 1504 1598 1632 2256 2397 3196 4512 4794 6392 9588 12784 19176 25568 38352 76704 1332803 2665606 3998409 5331212 7996818 10662424 15993636 21324848 22657651 31987272 42649696 45315302 62641741 63974544 67972953 90630604 125283482 127949088 135945906 181261208 187925223 250566964 271891812 362522416 375850446 501133928 543783624 725044832 751700892 1002267856 1064909597 1087567248 1503401784 2004535712 2129819194 2175134496 3006803568 3194728791 4259638388 6013607136 6389457582 8519276776 12778915164 17038553552 25557830328 34077107104 51115660656 102231321312