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102014041031 = 7175316174733
BaseRepresentation
bin101111100000010000…
…0101011101111000111
3100202022112102020010222
41133000200223233013
53132411043303111
6114510430534555
710241001020150
oct1370040535707
9322275366128
10102014041031
113a29a2a2a21
121793036745b
139809b61ab6
144d1a732927
1529c0e727db
hex17c082bbc7

102014041031 has 16 divisors (see below), whose sum is σ = 125774731584. Its totient is φ = 80744262144.

The previous prime is 102014041021. The next prime is 102014041039. The reversal of 102014041031 is 130140410201.

It is a happy number.

It is not a de Polignac number, because 102014041031 - 218 = 102013778887 is a prime.

It is a super-2 number, since 2×1020140410312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102014041039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8081060 + ... + 8093673.

It is an arithmetic number, because the mean of its divisors is an integer number (7860920724).

Almost surely, 2102014041031 is an apocalyptic number.

102014041031 is a deficient number, since it is larger than the sum of its proper divisors (23760690553).

102014041031 is a wasteful number, since it uses less digits than its factorization.

102014041031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16174810.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102014041031 its reverse (130140410201), we get a palindrome (232154451232).

The spelling of 102014041031 in words is "one hundred two billion, fourteen million, forty-one thousand, thirty-one".

Divisors: 1 7 17 53 119 371 901 6307 16174733 113223131 274970461 857260849 1924793227 6000825943 14573434433 102014041031