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102001431300 = 22352340004771
BaseRepresentation
bin101111011111111000…
…0100101001100000100
3100202021122200120211220
41132333300211030010
53132344331300200
6114505300400340
710240455601116
oct1367760451404
9322248616756
10102001431300
113a29317005a
12179280a60b0
139807368412
144d18bad3b6
1529becd14a0
hex17bfc25304

102001431300 has 36 divisors (see below), whose sum is σ = 295124142096. Its totient is φ = 27200381600.

The previous prime is 102001431299. The next prime is 102001431307. The reversal of 102001431300 is 3134100201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102001431300.

It is not an unprimeable number, because it can be changed into a prime (102001431307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170002086 + ... + 170002685.

It is an arithmetic number, because the mean of its divisors is an integer number (8197892836).

Almost surely, 2102001431300 is an apocalyptic number.

102001431300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001431300 is an abundant number, since it is smaller than the sum of its proper divisors (193122710796).

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

102001431300 is a wasteful number, since it uses less digits than its factorization.

102001431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340004788 (or 340004781 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102001431300 its reverse (3134100201), we get a palindrome (105135531501).

The spelling of 102001431300 in words is "one hundred two billion, one million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 340004771 680009542 1020014313 1360019084 1700023855 2040028626 3400047710 4080057252 5100071565 6800095420 8500119275 10200143130 17000238550 20400286260 25500357825 34000477100 51000715650 102001431300