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102040031430 = 2325171918011949
BaseRepresentation
bin101111100001000001…
…1110101000011000110
3100202101100022200021100
41133002003311003012
53132434222001210
6114513200000530
710241434646001
oct1370203650306
9322340280240
10102040031430
113a302a34997
1217939000146
139812361a2c
144d1dd7a538
1529c33a85c0
hex17c20f50c6

102040031430 has 192 divisors, whose sum is σ = 296010936000. Its totient is φ = 24236236800.

The previous prime is 102040031407. The next prime is 102040031503. The reversal of 102040031430 is 34130040201.

102040031430 is a `hidden beast` number, since 1 + 0 + 204 + 0 + 0 + 31 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52354096 + ... + 52356044.

It is an arithmetic number, because the mean of its divisors is an integer number (1541723625).

Almost surely, 2102040031430 is an apocalyptic number.

102040031430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102040031430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148005468000).

102040031430 is an abundant number, since it is smaller than the sum of its proper divisors (193970904570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102040031430 is a wasteful number, since it uses less digits than its factorization.

102040031430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102040031430 its reverse (34130040201), we get a palindrome (136170071631).

The spelling of 102040031430 in words is "one hundred two billion, forty million, thirty-one thousand, four hundred thirty".