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102121341004032 = 283718995785157
BaseRepresentation
bin10111001110000011111010…
…010000010010100100000000
3111101120201000211200001110020
4113032003322100102210000
5101341124001244112112
61001105521342333440
730340011013152420
oct2716037220224400
9441521024601406
10102121341004032
112a5a2465776279
12b55397258a280
1344ca00265818c
141b309b0b60480
15bc162534248c
hex5ce0fa412900

102121341004032 has 72 divisors (see below), whose sum is σ = 310619078903616. Its totient is φ = 29177525999616.

The previous prime is 102121341004013. The next prime is 102121341004043. The reversal of 102121341004032 is 230400143121201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102121341003993 and 102121341004011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9497887203 + ... + 9497897954.

Almost surely, 2102121341004032 is an apocalyptic number.

102121341004032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102121341004032 is an abundant number, since it is smaller than the sum of its proper divisors (208497737899584).

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

102121341004032 is an equidigital number, since it uses as much as digits as its factorization.

102121341004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18995785183 (or 18995785169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102121341004032 its reverse (230400143121201), we get a palindrome (332521484125233).

The spelling of 102121341004032 in words is "one hundred two trillion, one hundred twenty-one billion, three hundred forty-one million, four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 18995785157 37991570314 56987355471 75983140628 113974710942 132970496099 151966281256 227949421884 265940992198 303932562512 398911488297 455898843768 531881984396 607865125024 797822976594 911797687536 1063763968792 1215730250048 1595645953188 1823595375072 2127527937584 2431460500096 3191291906376 3647190750144 4255055875168 4862921000192 6382583812752 7294381500288 8510111750336 12765167625504 14588763000576 17020223500672 25530335251008 34040447001344 51060670502016 102121341004032