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1233013020100 = 2252104513117977
BaseRepresentation
bin10001111100010101010…
…011011001010111000100
311100212121210112021220121
4101330111103121113010
5130200202313120400
62342234404111324
7155040132513031
oct21742523312704
94325553467817
101233013020100
11435a10783784
1217ab71695544
138c370c72724
144396cba8388
15221180cb21a
hex11f154d95c4

1233013020100 has 36 divisors (see below), whose sum is σ = 2675686534164. Its totient is φ = 493196308480.

The previous prime is 1233013020097. The next prime is 1233013020131. The reversal of 1233013020100 is 10203103321.

It can be written as a sum of positive squares in 6 ways, for example, as 520106361856 + 712906658244 = 721184^2 + 844338^2 .

It is a super-2 number, since 2×12330130201002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10392312 + ... + 10510288.

It is an arithmetic number, because the mean of its divisors is an integer number (74324625949).

Almost surely, 21233013020100 is an apocalyptic number.

1233013020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233013020100 is an abundant number, since it is smaller than the sum of its proper divisors (1442673514064).

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

1233013020100 is a wasteful number, since it uses less digits than its factorization.

1233013020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222504 (or 222497 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1233013020100 its reverse (10203103321), we get a palindrome (1243216123421).

The spelling of 1233013020100 in words is "one trillion, two hundred thirty-three billion, thirteen million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 104513 117977 209026 235954 418052 471908 522565 589885 1045130 1179770 2090260 2359540 2612825 2949425 5225650 5898850 10451300 11797700 12330130201 24660260402 49320520804 61650651005 123301302010 246602604020 308253255025 616506510050 1233013020100