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1001021112020 = 225291725898469
BaseRepresentation
bin11101001000100011000…
…00011111111011010100
310112200210212211021211202
432210101200133323110
5112400042401041040
62043510204252032
7132215144030006
oct16442140377324
93480725737752
101001021112020
11356592359526
12142007b41018
137351b9b8337
1436641ccc376
151b08b218015
hexe91181fed4

1001021112020 has 24 divisors (see below), whose sum is σ = 2174632072200. Its totient is φ = 386601256832.

The previous prime is 1001021111969. The next prime is 1001021112023. The reversal of 1001021112020 is 202111201001.

1001021112020 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 134684596036 + 866336515984 = 366994^2 + 930772^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001021111992 and 1001021112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001021112023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862948655 + ... + 862949814.

It is an arithmetic number, because the mean of its divisors is an integer number (90609669675).

Almost surely, 21001021112020 is an apocalyptic number.

1001021112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001021112020 is an abundant number, since it is smaller than the sum of its proper divisors (1173610960180).

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

1001021112020 is a wasteful number, since it uses less digits than its factorization.

1001021112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725898507 (or 1725898505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001021112020 its reverse (202111201001), we get a palindrome (1203132313021).

The spelling of 1001021112020 in words is "one trillion, one billion, twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1725898469 3451796938 6903593876 8629492345 17258984690 34517969380 50051055601 100102111202 200204222404 250255278005 500510556010 1001021112020