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1020204131220 = 223255667800729
BaseRepresentation
bin11101101100010001110…
…01111010001110010100
310121112022210001122010100
432312020321322032110
5113203334224144340
62100401511054100
7133464416014461
oct16661071721624
93545283048110
101020204131220
113637366a97aa
12145880371330
1375288045c81
14375418a8668
151b8103a5830
hexed88e7a394

1020204131220 has 36 divisors (see below), whose sum is σ = 3094619198580. Its totient is φ = 272054434944.

The previous prime is 1020204131213. The next prime is 1020204131239. The reversal of 1020204131220 is 221314020201.

It is a happy number.

1020204131220 is a `hidden beast` number, since 10 + 2 + 0 + 20 + 413 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 370522994436 + 649681136784 = 608706^2 + 806028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1020204131193 and 1020204131202.

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, 2833900185 + ... + 2833900544.

It is an arithmetic number, because the mean of its divisors is an integer number (85961644405).

Almost surely, 21020204131220 is an apocalyptic number.

1020204131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020204131220 is an abundant number, since it is smaller than the sum of its proper divisors (2074415067360).

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

1020204131220 is a wasteful number, since it uses less digits than its factorization.

1020204131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667800744 (or 5667800739 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1020204131220 its reverse (221314020201), we get a palindrome (1241518151421).

The spelling of 1020204131220 in words is "one trillion, twenty billion, two hundred four million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5667800729 11335601458 17003402187 22671202916 28339003645 34006804374 51010206561 56678007290 68013608748 85017010935 102020413122 113356014580 170034021870 204040826244 255051032805 340068043740 510102065610 1020204131220