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102132344040 = 2335851102867
BaseRepresentation
bin101111100011110001…
…1111110010011101000
3100202121210000122100220
41133013203332103220
53133131340002130
6114530254330040
710243635412656
oct1370743762350
9322553018326
10102132344040
113a350055801
1217963ab9920
13982851348c
144d2c329dd6
1529cb540410
hex17c78fe4e8

102132344040 has 32 divisors (see below), whose sum is σ = 306397032480. Its totient is φ = 27235291712.

The previous prime is 102132344023. The next prime is 102132344047. The reversal of 102132344040 is 40443231201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102132344040.

It is not an unprimeable number, because it can be changed into a prime (102132344047) 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, 425551314 + ... + 425551553.

It is an arithmetic number, because the mean of its divisors is an integer number (9574907265).

Almost surely, 2102132344040 is an apocalyptic number.

102132344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132344040 is an abundant number, since it is smaller than the sum of its proper divisors (204264688440).

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

102132344040 is a wasteful number, since it uses less digits than its factorization.

102132344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851102881 (or 851102877 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102132344040 its reverse (40443231201), we get a palindrome (142575575241).

The spelling of 102132344040 in words is "one hundred two billion, one hundred thirty-two million, three hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 851102867 1702205734 2553308601 3404411468 4255514335 5106617202 6808822936 8511028670 10213234404 12766543005 17022057340 20426468808 25533086010 34044114680 51066172020 102132344040