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1022120002100 = 225242569240109
BaseRepresentation
bin11101101111110110001…
…10011000001000110100
310121201021022002221220002
432313323012120020310
5113221300210031400
62101315550530432
7133563041445041
oct16677306301064
93551238087802
101022120002100
1136452a10496a
12146115b06a18
1375501c45692
14376841041c8
151b8c369aed5
hexedfb198234

1022120002100 has 36 divisors (see below), whose sum is σ = 2218061745900. Its totient is φ = 408836693760.

The previous prime is 1022120002097. The next prime is 1022120002133. The reversal of 1022120002100 is 12000212201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 45572856484 + 976547145616 = 213478^2 + 988204^2 .

It is a congruent number.

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, 4136846 + ... + 4376954.

It is an arithmetic number, because the mean of its divisors is an integer number (61612826275).

Almost surely, 21022120002100 is an apocalyptic number.

1022120002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022120002100 is an abundant number, since it is smaller than the sum of its proper divisors (1195941743800).

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

1022120002100 is a wasteful number, since it uses less digits than its factorization.

1022120002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282692 (or 282685 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022120002100 its reverse (12000212201), we get a palindrome (1034120214301).

The spelling of 1022120002100 in words is "one trillion, twenty-two billion, one hundred twenty million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 42569 85138 170276 212845 240109 425690 480218 851380 960436 1064225 1200545 2128450 2401090 4256900 4802180 6002725 12005450 24010900 10221200021 20442400042 40884800084 51106000105 102212000210 204424000420 255530000525 511060001050 1022120002100