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102234210144 = 2531196812699
BaseRepresentation
bin101111100110110100…
…0100011111101100000
3100202212212200222101120
41133031220203331200
53133333424211034
6114544333532240
710246313306463
oct1371550437540
9322785628346
10102234210144
113a3a2601270
1217992044080
13984365b491
144d3ba852da
1529d5462c49
hex17cda23f60

102234210144 has 48 divisors (see below), whose sum is σ = 292761604800. Its totient is φ = 30980063360.

The previous prime is 102234210107. The next prime is 102234210149. The reversal of 102234210144 is 441012432201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102234210149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48405294 + ... + 48407405.

It is an arithmetic number, because the mean of its divisors is an integer number (6099200100).

Almost surely, 2102234210144 is an apocalyptic number.

It is an amenable number.

102234210144 is an abundant number, since it is smaller than the sum of its proper divisors (190527394656).

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

102234210144 is a wasteful number, since it uses less digits than its factorization.

102234210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96812723 (or 96812715 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102234210144 its reverse (441012432201), we get a palindrome (543246642345).

The spelling of 102234210144 in words is "one hundred two billion, two hundred thirty-four million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 96812699 193625398 290438097 387250796 580876194 774501592 1064939689 1161752388 1549003184 2129879378 2323504776 3098006368 3194819067 4259758756 4647009552 6389638134 8519517512 9294019104 12779276268 17039035024 25558552536 34078070048 51117105072 102234210144