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102031313121 = 361011385749
BaseRepresentation
bin101111100000110001…
…0100100100011100001
3100202100201220202000000
41133001202210203201
53132430004004441
6114512245050213
710241300565123
oct1370142444341
9322321822000
10102031313121
113a2a901a781
12179360b6969
1398105cb67a
144d1cb4b213
1529c27352b6
hex17c18a48e1

102031313121 has 28 divisors (see below), whose sum is σ = 154491724500. Its totient is φ = 67347352800.

The previous prime is 102031313117. The next prime is 102031313129. The reversal of 102031313121 is 121313130201.

It can be written as a sum of positive squares in 2 ways, for example, as 45577553121 + 56453760000 = 213489^2 + 237600^2 .

It is not a de Polignac number, because 102031313121 - 22 = 102031313117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102031313094 and 102031313103.

It is not an unprimeable number, because it can be changed into a prime (102031313129) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 619246 + ... + 766503.

Almost surely, 2102031313121 is an apocalyptic number.

It is an amenable number.

102031313121 is a deficient number, since it is larger than the sum of its proper divisors (52460411379).

102031313121 is an equidigital number, since it uses as much as digits as its factorization.

102031313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385868 (or 1385853 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102031313121 its reverse (121313130201), we get a palindrome (223344443322).

The spelling of 102031313121 in words is "one hundred two billion, thirty-one million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 101 243 303 729 909 2727 8181 24543 73629 1385749 4157247 12471741 37415223 112245669 139960649 336737007 419881947 1010211021 1259645841 3778937523 11336812569 34010437707 102031313121