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102123232031 = 17191493116823
BaseRepresentation
bin101111100011100000…
…1001101101100011111
3100202121010212201001002
41133013001031230133
53133122021411111
6114525331140515
710243465102232
oct1370701155437
9322533781032
10102123232031
113a3459a1817
1217960a4473b
139826672b62
144d2b037419
1529ca84063b
hex17c704db1f

102123232031 has 32 divisors (see below), whose sum is σ = 114970752000. Its totient is φ = 90142087680.

The previous prime is 102123232027. The next prime is 102123232039. The reversal of 102123232031 is 130232321201.

It is a cyclic number.

It is not a de Polignac number, because 102123232031 - 22 = 102123232027 is a prime.

It is a super-2 number, since 2×1021232320312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102123231994 and 102123232012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123232039) 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, 14964086 + ... + 14970908.

It is an arithmetic number, because the mean of its divisors is an integer number (3592836000).

Almost surely, 2102123232031 is an apocalyptic number.

102123232031 is a deficient number, since it is larger than the sum of its proper divisors (12847519969).

102123232031 is a wasteful number, since it uses less digits than its factorization.

102123232031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102123232031 its reverse (130232321201), we get a palindrome (232355553232).

The spelling of 102123232031 in words is "one hundred two billion, one hundred twenty-three million, two hundred thirty-two thousand, thirty-one".

Divisors: 1 17 19 149 311 323 2533 2831 5287 5909 6823 46339 48127 100453 115991 129637 787763 880441 1016627 2121953 2203829 14967497 17282659 19315913 36073201 40317107 316170997 328370521 685390819 5374906949 6007248943 102123232031