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102433000431 = 31913136737379
BaseRepresentation
bin101111101100101111…
…0111000101111101111
3100210101201202120101210
41133121132320233233
53134240322003211
6115020154405503
710254246065136
oct1373136705757
9323351676353
10102433000431
113a494838363
1217a28730893
1398758b0c78
144d5a23091d
1529e7b2d9a6
hex17d97b8bef

102433000431 has 32 divisors (see below), whose sum is σ = 145261670400. Its totient is φ = 64024028640.

The previous prime is 102433000367. The next prime is 102433000487. The reversal of 102433000431 is 134000334201.

It is not a de Polignac number, because 102433000431 - 26 = 102433000367 is a prime.

It is a super-2 number, since 2×1024330004312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102433000398 and 102433000407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102433010431) 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, 2721700 + ... + 2759078.

It is an arithmetic number, because the mean of its divisors is an integer number (4539427200).

Almost surely, 2102433000431 is an apocalyptic number.

102433000431 is a deficient number, since it is larger than the sum of its proper divisors (42828669969).

102433000431 is a wasteful number, since it uses less digits than its factorization.

102433000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37899.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102433000431 its reverse (134000334201), we get a palindrome (236433334632).

The spelling of 102433000431 in words is "one hundred two billion, four hundred thirty-three million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 19 57 131 367 393 1101 2489 6973 7467 20919 37379 48077 112137 144231 710201 913463 2130603 2740389 4896649 13718093 14689947 41154279 93036331 260643767 279108993 781931301 1797070183 5391210549 34144333477 102433000431