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102313344420 = 2232577110131129
BaseRepresentation
bin101111101001001011…
…0011011110110100100
3100210002101121102012200
41133102112123312210
53134014204010140
6115000242014500
710251264035610
oct1372226336644
9323071542180
10102313344420
113a433240aa1
12179b4647430
139856b777b1
144d483a4340
1529dc395030
hex17d259bda4

102313344420 has 288 divisors, whose sum is σ = 360355806720. Its totient is φ = 23013365760.

The previous prime is 102313344403. The next prime is 102313344431. The reversal of 102313344420 is 24443313201.

102313344420 is a `hidden beast` number, since 1 + 0 + 2 + 313 + 344 + 4 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90622416 + ... + 90623544.

It is an arithmetic number, because the mean of its divisors is an integer number (1251235440).

Almost surely, 2102313344420 is an apocalyptic number.

102313344420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102313344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180177903360).

102313344420 is an abundant number, since it is smaller than the sum of its proper divisors (258042462300).

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

102313344420 is a wasteful number, since it uses less digits than its factorization.

102313344420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102313344420 its reverse (24443313201), we get a palindrome (126756657621).

The spelling of 102313344420 in words is "one hundred two billion, three hundred thirteen million, three hundred forty-four thousand, four hundred twenty".