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2321996916100 = 22521523812
BaseRepresentation
bin100001110010100001110…
…011010010010110000100
322012222110221211222212111
4201302201303102112010
5301020422202303400
64534413300230404
7326521151063221
oct41624163222604
98188427758774
102321996916100
118158317a7794
1231602809b404
1313ac6a6a5364
14805571ac948
15406018ab3ba
hex21ca1cd2584

2321996916100 has 27 divisors (see below), whose sum is σ = 5038766374831. Its totient is φ = 928792671200.

The previous prime is 2321996916073. The next prime is 2321996916121. The reversal of 2321996916100 is 16196991232.

The square root of 2321996916100 is 1523810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 308640246916 + 2013356669184 = 555554^2 + 1418928^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 15161910 + ... + 15314290.

Almost surely, 22321996916100 is an apocalyptic number.

2321996916100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2321996916100 is the 1523810-th square number.

It is an amenable number.

2321996916100 is an abundant number, since it is smaller than the sum of its proper divisors (2716769458731).

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

2321996916100 is an frugal number, since it uses more digits than its factorization.

2321996916100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304776 (or 152388 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 49.

Multiplying 2321996916100 by its sum of digits (49), we get a square (113777848888900 = 106666702).

The spelling of 2321996916100 in words is "two trillion, three hundred twenty-one billion, nine hundred ninety-six million, nine hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 152381 304762 609524 761905 1523810 3047620 3809525 7619050 15238100 23219969161 46439938322 92879876644 116099845805 232199691610 464399383220 580499229025 1160998458050 2321996916100