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102431113029 = 337636185201
BaseRepresentation
bin101111101100101011…
…1101011111101000101
3100210101121012200101000
41133121113223331011
53134234331104104
6115020050123513
710254224044410
oct1373127537505
9323347180330
10102431113029
113a493769323
1217a27b80599
13987539cb6b
144d59c9cb77
1529e78a9639
hex17d95ebf45

102431113029 has 32 divisors (see below), whose sum is σ = 173457639680. Its totient is φ = 58522176000.

The previous prime is 102431113027. The next prime is 102431113067. The reversal of 102431113029 is 920311134201.

102431113029 is a `hidden beast` number, since 1 + 0 + 243 + 111 + 302 + 9 = 666.

It is not a de Polignac number, because 102431113029 - 21 = 102431113027 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102431112993 and 102431113011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102431113027) 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, 1159629 + ... + 1244829.

It is an arithmetic number, because the mean of its divisors is an integer number (5420551240).

Almost surely, 2102431113029 is an apocalyptic number.

It is an amenable number.

102431113029 is a deficient number, since it is larger than the sum of its proper divisors (71026526651).

102431113029 is an equidigital number, since it uses as much as digits as its factorization.

102431113029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91578 (or 91572 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 102431113029 in words is "one hundred two billion, four hundred thirty-one million, one hundred thirteen thousand, twenty-nine".

Divisors: 1 3 7 9 21 27 63 189 6361 19083 44527 57249 85201 133581 171747 255603 400743 596407 766809 1202229 1789221 2300427 5367663 16102989 541963561 1625890683 3793744927 4877672049 11381234781 14633016147 34143704343 102431113029