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102130344 = 233229411193
BaseRepresentation
bin1100001011001…
…10001010101000
321010011202111100
412011212022220
5202121132334
614045001400
72350044051
oct605461250
9233152440
10102130344
1152717048
122a253260
131820b374
14d7c7728
158e75c99
hex61662a8

102130344 has 96 divisors (see below), whose sum is σ = 293365800. Its totient is φ = 32040960.

The previous prime is 102130333. The next prime is 102130361. The reversal of 102130344 is 443031201.

It can be written as a sum of positive squares in 4 ways, for example, as 64160100 + 37970244 = 8010^2 + 6162^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85012 + ... + 86204.

Almost surely, 2102130344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102130344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146682900).

102130344 is an abundant number, since it is smaller than the sum of its proper divisors (191235456).

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

102130344 is a wasteful number, since it uses less digits than its factorization.

102130344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102130344 is about 10105.9558677049. The cubic root of 102130344 is about 467.4318110007.

Adding to 102130344 its reverse (443031201), we get a palindrome (545161545).

The spelling of 102130344 in words is "one hundred two million, one hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 41 58 72 82 87 116 123 164 174 232 246 261 328 348 369 492 522 696 738 984 1044 1189 1193 1476 2088 2378 2386 2952 3567 3579 4756 4772 7134 7158 9512 9544 10701 10737 14268 14316 21402 21474 28536 28632 34597 42804 42948 48913 69194 85608 85896 97826 103791 138388 146739 195652 207582 276776 293478 311373 391304 415164 440217 586956 622746 830328 880434 1173912 1245492 1418477 1760868 2490984 2836954 3521736 4255431 5673908 8510862 11347816 12766293 17021724 25532586 34043448 51065172 102130344