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102321013121232 = 24333712914899677
BaseRepresentation
bin10111010000111101110111…
…101000111110000011010000
3111102021210102022222120022020
4113100331313220332003100
5101402411413324334412
61001341342521011440
730360310043150043
oct2720756750760320
9442253368876266
10102321013121232
112a66a109449254
12b5865b8323b80
134512aa3a66159
141b3a513490c5a
15bc690eaeb18c
hex5d0f77a3e0d0

102321013121232 has 80 divisors (see below), whose sum is σ = 265319053202112. Its totient is φ = 33979449047040.

The previous prime is 102321013121231. The next prime is 102321013121279. The reversal of 102321013121232 is 232121310123201.

It is a super-2 number, since 2×1023210131212322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102321013121231) 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, 18433378 + ... + 23333054.

Almost surely, 2102321013121232 is an apocalyptic number.

102321013121232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102321013121232 is an abundant number, since it is smaller than the sum of its proper divisors (162998040080880).

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

102321013121232 is a wasteful number, since it uses less digits than its factorization.

102321013121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901316 (or 4901310 counting only the distinct ones).

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

Adding to 102321013121232 its reverse (232121310123201), we get a palindrome (334442323244433).

The spelling of 102321013121232 in words is "one hundred two trillion, three hundred twenty-one billion, thirteen million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 337 674 1011 1291 1348 2022 2582 2696 3873 4044 5164 5392 7746 8088 10328 15492 16176 20656 30984 61968 435067 870134 1305201 1740268 2610402 3480536 4899677 5220804 6961072 9799354 10441608 14699031 19598708 20883216 29398062 39197416 58796124 78394832 117592248 235184496 1651191149 3302382298 4953573447 6325483007 6604764596 9907146894 12650966014 13209529192 18976449021 19814293788 25301932028 26419058384 37952898042 39628587576 50603864056 75905796084 79257175152 101207728112 151811592168 303623184336 2131687773359 4263375546718 6395063320077 8526751093436 12790126640154 17053502186872 25580253280308 34107004373744 51160506560616 102321013121232