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1000112020100 = 225241243929761
BaseRepresentation
bin11101000110110110101…
…00100101101010000100
310112121110112012122011122
432203123110211222010
5112341212134120400
62043240051253112
7132153464623154
oct16433324455204
93477415178148
101000112020100
11356166187296
121419b35aa198
137340555a51b
1436597286764
151b0364e2685
hexe8db525a84

1000112020100 has 36 divisors (see below), whose sum is σ = 2223175850868. Its totient is φ = 390287616000.

The previous prime is 1000112020091. The next prime is 1000112020123. The reversal of 1000112020100 is 10202110001.

It can be written as a sum of positive squares in 6 ways, for example, as 125782296964 + 874329723136 = 354658^2 + 935056^2 .

It is an unprimeable number.

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, 121960781 + ... + 121968980.

Almost surely, 21000112020100 is an apocalyptic number.

1000112020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000112020100 is an abundant number, since it is smaller than the sum of its proper divisors (1223063830768).

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

1000112020100 is a wasteful number, since it uses less digits than its factorization.

1000112020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243929816 (or 243929809 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000112020100 its reverse (10202110001), we get a palindrome (1010314130101).

The spelling of 1000112020100 in words is "one trillion, one hundred twelve million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 243929761 487859522 975719044 1219648805 2439297610 4878595220 6098244025 10001120201 12196488050 20002240402 24392976100 40004480804 50005601005 100011202010 200022404020 250028005025 500056010050 1000112020100