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102002331321231 = 31117199569596709
BaseRepresentation
bin10111001100010101000100…
…101110011000001110001111
3111101011022211211221202202120
4113030111010232120032033
5101332201233304234411
61000535120224024023
730325265600432235
oct2714250456301617
9441138754852676
10102002331321231
112a556a44921120
12b53489a462013
1344bba1769a923
141b28d21164955
15bbd4ac2a9106
hex5cc544b9838f

102002331321231 has 32 divisors (see below), whose sum is σ = 165362631148800. Its totient is φ = 55120877038080.

The previous prime is 102002331321227. The next prime is 102002331321277. The reversal of 102002331321231 is 132123133200201.

It is not a de Polignac number, because 102002331321231 - 22 = 102002331321227 is a prime.

It is a super-2 number, since 2×1020023313212312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002331321221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4784787696 + ... + 4784809013.

It is an arithmetic number, because the mean of its divisors is an integer number (5167582223400).

Almost surely, 2102002331321231 is an apocalyptic number.

102002331321231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102002331321231 is a deficient number, since it is larger than the sum of its proper divisors (63360299827569).

102002331321231 is a wasteful number, since it uses less digits than its factorization.

102002331321231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569596759.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102002331321231 its reverse (132123133200201), we get a palindrome (234125464521432).

The spelling of 102002331321231 in words is "one hundred two trillion, two billion, three hundred thirty-one million, three hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 11 17 19 33 51 57 187 209 323 561 627 969 3553 10659 9569596709 28708790127 105265563799 162683144053 181822337471 315796691397 488049432159 545467012413 1789514584583 2000045712181 3090979737007 5368543753749 6000137136543 9272939211021 34000777107077 102002331321231