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102101430431 = 71113412487791
BaseRepresentation
bin101111100010110111…
…0000011000010011111
3100202112121212001212102
41133011232003002133
53133100431233211
6114523231555315
710243111560560
oct1370556030237
9322477761772
10102101430431
113a334660970
121795568bb3b
139821cab6c0
144d281a0167
1529c8985a3b
hex17c5b8309f

102101430431 has 32 divisors (see below), whose sum is σ = 140430882816. Its totient is φ = 71648352000.

The previous prime is 102101430383. The next prime is 102101430463. The reversal of 102101430431 is 134034101201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102101430431 is a prime.

It is a super-2 number, since 2×1021014304312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101430491) 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, 1202855 + ... + 1284936.

It is an arithmetic number, because the mean of its divisors is an integer number (4388465088).

Almost surely, 2102101430431 is an apocalyptic number.

102101430431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102101430431 is a deficient number, since it is larger than the sum of its proper divisors (38329452385).

102101430431 is a wasteful number, since it uses less digits than its factorization.

102101430431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487863.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102101430431 its reverse (134034101201), we get a palindrome (236135531632).

The spelling of 102101430431 in words is "one hundred two billion, one hundred one million, four hundred thirty thousand, four hundred thirty-one".

Divisors: 1 7 11 13 41 77 91 143 287 451 533 1001 3157 3731 5863 41041 2487791 17414537 27365701 32341283 101999431 191559907 226388981 355754113 713996017 1121993741 1325992603 2490278791 7853956187 9281948221 14585918633 102101430431