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100210234014 = 232113116326203
BaseRepresentation
bin101110101010011111…
…1101101001010011110
3100120122211020100002200
41131110333231022132
53120212304442024
6114011433032330
710145205635442
oct1352477551236
9316584210080
10100210234014
1139554079020
12175082556a6
1395b023ac77
144bc8d48822
1529179162c9
hex1754fed29e

100210234014 has 48 divisors (see below), whose sum is σ = 244501231104. Its totient is φ = 29387163600.

The previous prime is 100210233997. The next prime is 100210234021. The reversal of 100210234014 is 410432012001.

100210234014 is a `hidden beast` number, since 100 + 210 + 2 + 340 + 14 = 666.

It is a super-2 number, since 2×1002102340142 (a number of 23 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8156964 + ... + 8169239.

It is an arithmetic number, because the mean of its divisors is an integer number (5093775648).

Almost surely, 2100210234014 is an apocalyptic number.

100210234014 is an abundant number, since it is smaller than the sum of its proper divisors (144290997090).

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

100210234014 is a wasteful number, since it uses less digits than its factorization.

100210234014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16326253 (or 16326250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100210234014 its reverse (410432012001), we get a palindrome (510642246015).

The spelling of 100210234014 in words is "one hundred billion, two hundred ten million, two hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 16326203 32652406 48978609 97957218 146935827 179588233 293871654 359176466 506112293 538764699 1012224586 1077529398 1518336879 1616294097 3036673758 3232588194 4555010637 5567235223 9110021274 11134470446 16701705669 33403411338 50105117007 100210234014