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1056900100 = 225232512
BaseRepresentation
bin111110111111110…
…000010000000100
32201122202002101011
4332333300100010
54131031300400
6252513012004
735122334254
oct7677602004
92648662334
101056900100
114a2657763
12255b54004
1313ac70199
14a051d964
1562bc08ba
hex3eff0404

1056900100 has 27 divisors (see below), whose sum is σ = 2294178901. Its totient is φ = 422630000.

The previous prime is 1056900073. The next prime is 1056900101. The reversal of 1056900100 is 10096501.

The square root of 1056900100 is 32510.

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

1056900100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 380484036 + 676416064 = 19506^2 + 26008^2 .

It is a super-2 number, since 2×10569001002 = 2234075642760020000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1056900101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 323475 + ... + 326725.

Almost surely, 21056900100 is an apocalyptic number.

1056900100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1056900100 is the 32510-th square number.

It is an amenable number.

1056900100 is an abundant number, since it is smaller than the sum of its proper divisors (1237278801).

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

1056900100 is an frugal number, since it uses more digits than its factorization.

1056900100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The cubic root of 1056900100 is about 1018.6179218286.

Adding to 1056900100 its reverse (10096501), we get a palindrome (1066996601).

The spelling of 1056900100 in words is "one billion, fifty-six million, nine hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3251 6502 13004 16255 32510 65020 81275 162550 325100 10569001 21138002 42276004 52845005 105690010 211380020 264225025 528450050 1056900100