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1020120102020 = 22582162126681
BaseRepresentation
bin11101101100000111110…
…01010111010010000100
310121112002220221111201202
432312003321113102010
5113203201221231040
62100345310042032
7133462345540415
oct16660371272204
93545086844652
101020120102020
113636a3226388
121458581a9318
1375273804956
143753467380c
151b807d08015
hexed83e57484

1020120102020 has 24 divisors (see below), whose sum is σ = 2144861569368. Its totient is φ = 407551020800.

The previous prime is 1020120102019. The next prime is 1020120102049. The reversal of 1020120102020 is 202010210201.

It is a happy number.

1020120102020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63698692996 + 956421409024 = 252386^2 + 977968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020120101992 and 1020120102010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31046921 + ... + 31079760.

It is an arithmetic number, because the mean of its divisors is an integer number (89369232057).

Almost surely, 21020120102020 is an apocalyptic number.

1020120102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020120102020 is an abundant number, since it is smaller than the sum of its proper divisors (1124741467348).

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

1020120102020 is a wasteful number, since it uses less digits than its factorization.

1020120102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62127511 (or 62127509 counting only the distinct ones).

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

Adding to 1020120102020 its reverse (202010210201), we get a palindrome (1222130312221).

The spelling of 1020120102020 in words is "one trillion, twenty billion, one hundred twenty million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 821 1642 3284 4105 8210 16420 62126681 124253362 248506724 310633405 621266810 1242533620 51006005101 102012010202 204024020404 255030025505 510060051010 1020120102020