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102123311031 = 3372512152729
BaseRepresentation
bin101111100011100000…
…1100000111110110111
3100202121011000201102000
41133013001200332313
53133122031423111
6114525332550343
710243465551450
oct1370701407667
9322534021360
10102123311031
113a345a46105
1217960a823b3
13982669cac1
144d2b058127
1529ca858c56
hex17c7060fb7

102123311031 has 32 divisors (see below), whose sum is σ = 173596147200. Its totient is φ = 58123656000.

The previous prime is 102123311029. The next prime is 102123311053. The reversal of 102123311031 is 130113321201.

It is not a de Polignac number, because 102123311031 - 21 = 102123311029 is a prime.

It is a super-2 number, since 2×1021233110312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102123310995 and 102123311013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123311531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028926 + ... + 1123803.

It is an arithmetic number, because the mean of its divisors is an integer number (5424879600).

Almost surely, 2102123311031 is an apocalyptic number.

102123311031 is a deficient number, since it is larger than the sum of its proper divisors (71472836169).

102123311031 is a wasteful number, since it uses less digits than its factorization.

102123311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152996 (or 2152990 counting only the distinct ones).

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

Adding to 102123311031 its reverse (130113321201), we get a palindrome (232236632232).

The spelling of 102123311031 in words is "one hundred two billion, one hundred twenty-three million, three hundred eleven thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 189 251 753 1757 2259 5271 6777 15813 47439 2152729 6458187 15069103 19374561 45207309 58123683 135621927 406865781 540334979 1621004937 3782344853 4863014811 11347034559 14589044433 34041103677 102123311031