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100106520032 = 254876423673
BaseRepresentation
bin101110100111011010…
…0000100010111100000
3100120101121002010021002
41131032310010113200
53120004232120112
6113553250051132
710142506244351
oct1351664042740
9316347063232
10100106520032
1139500580192
1217499579aa8
1395948c6b4c
144bb926bd28
15290d77b1c2
hex174ed045e0

100106520032 has 24 divisors (see below), whose sum is σ = 197489433456. Its totient is φ = 49950473472.

The previous prime is 100106520029. The next prime is 100106520037. The reversal of 100106520032 is 230025601001.

It is a junction number, because it is equal to n+sod(n) for n = 100106519986 and 100106520013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106520037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3196253 + ... + 3227420.

It is an arithmetic number, because the mean of its divisors is an integer number (8228726394).

Almost surely, 2100106520032 is an apocalyptic number.

It is an amenable number.

100106520032 is a deficient number, since it is larger than the sum of its proper divisors (97382913424).

100106520032 is an equidigital number, since it uses as much as digits as its factorization.

100106520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424170 (or 6424162 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 100106520032 in words is "one hundred billion, one hundred six million, five hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 487 974 1948 3896 7792 15584 6423673 12847346 25694692 51389384 102778768 205557536 3128328751 6256657502 12513315004 25026630008 50053260016 100106520032