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1020200222100 = 223528747388781
BaseRepresentation
bin11101101100010001010…
…10111111110110010100
310121112022111201000211010
432312020222333312110
5113203332224101400
62100401251212220
7133464340543563
oct16661052776624
93545274630733
101020200222100
11363734479824
1214587aba7070
13752872a7897
143754116bbda
151b80ed82450
hexed88abfd94

1020200222100 has 72 divisors (see below), whose sum is σ = 2952124364448. Its totient is φ = 272021590400.

The previous prime is 1020200222081. The next prime is 1020200222113. The reversal of 1020200222100 is 12220020201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2429710 + ... + 2818490.

It is an arithmetic number, because the mean of its divisors is an integer number (41001727284).

Almost surely, 21020200222100 is an apocalyptic number.

1020200222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020200222100 is an abundant number, since it is smaller than the sum of its proper divisors (1931924142348).

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

1020200222100 is a wasteful number, since it uses less digits than its factorization.

1020200222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397545 (or 397538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020200222100 its reverse (12220020201), we get a palindrome (1032420242301).

The spelling of 1020200222100 in words is "one trillion, twenty billion, two hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 8747 17494 26241 34988 43735 52482 87470 104964 131205 174940 218675 262410 388781 437350 524820 656025 777562 874700 1166343 1312050 1555124 1943905 2332686 2624100 3887810 4665372 5831715 7775620 9719525 11663430 19439050 23326860 29158575 38878100 58317150 116634300 3400667407 6801334814 10202002221 13602669628 17003337035 20404004442 34006674070 40808008884 51010011105 68013348140 85016685175 102020022210 170033370350 204040044420 255050055525 340066740700 510100111050 1020200222100