Search a number
-
+
102331011131 = 17233113672293
BaseRepresentation
bin101111101001101100…
…1110101000000111011
3100210010121211222101022
41133103121311000323
53134033214324011
6115002112413055
710251600146216
oct1372331650073
9323117758338
10102331011131
113a442208288
12179ba54718b
13985a721b7b
144d4a88277d
1529ddbd48db
hex17d367503b

102331011131 has 32 divisors (see below), whose sum is σ = 113783574528. Its totient is φ = 91537712640.

The previous prime is 102331011127. The next prime is 102331011163. The reversal of 102331011131 is 131110133201.

It is a cyclic number.

It is not a de Polignac number, because 102331011131 - 22 = 102331011127 is a prime.

It is a super-2 number, since 2×1023310111312 (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 not an unprimeable number, because it can be changed into a prime (102331011121) 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, 44626421 + ... + 44628713.

It is an arithmetic number, because the mean of its divisors is an integer number (3555736704).

Almost surely, 2102331011131 is an apocalyptic number.

102331011131 is a deficient number, since it is larger than the sum of its proper divisors (11452563397).

102331011131 is a wasteful number, since it uses less digits than its factorization.

102331011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 102331011131 its reverse (131110133201), we get a palindrome (233441144332).

The spelling of 102331011131 in words is "one hundred two billion, three hundred thirty-one million, eleven thousand, one hundred thirty-one".

Divisors: 1 17 23 311 367 391 2293 5287 6239 7153 8441 38981 52739 114137 121601 143497 713123 841531 896563 1940329 2625151 12123091 14306027 16401829 19355213 44627567 261716141 278831093 329038621 4449174397 6019471243 102331011131