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10112222020100 = 22521011001210101
BaseRepresentation
bin1001001100100110111101…
…1001101100001000000100
31022210201102010202112202012
42103021233121230020010
52311134312314120400
633301253552233352
72062404200645414
oct223115731541004
938721363675665
1010112222020100
113249629783782
12117399683b858
13584769ac6805
1426d611482644
15128097156d35
hex9326f66c204

10112222020100 has 36 divisors (see below), whose sum is σ = 22160784397668. Its totient is φ = 4004840400000.

The previous prime is 10112222020093. The next prime is 10112222020139. The reversal of 10112222020100 is 102022221101.

It can be written as a sum of positive squares in 6 ways, for example, as 308522480704 + 9803699539396 = 555448^2 + 3131086^2 .

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, 500594951 + ... + 500615150.

Almost surely, 210112222020100 is an apocalyptic number.

10112222020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112222020100 is an abundant number, since it is smaller than the sum of its proper divisors (12048562377568).

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

10112222020100 is a wasteful number, since it uses less digits than its factorization.

10112222020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001210216 (or 1001210209 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10112222020100 its reverse (102022221101), we get a palindrome (10214244241201).

The spelling of 10112222020100 in words is "ten trillion, one hundred twelve billion, two hundred twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 1001210101 2002420202 4004840404 5006050505 10012101010 20024202020 25030252525 50060505050 100121010100 101122220201 202244440402 404488880804 505611101005 1011222202010 2022444404020 2528055505025 5056111010050 10112222020100