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10002112212020 = 225539435954917
BaseRepresentation
bin1001000110001100110001…
…0110000110110000110100
31022102012012101201202000012
42101203030112012300310
52302333311211241040
633134523521035352
72051425444012655
oct221431426066064
938365171652005
1010002112212020
113206965653195
121156587185b58
1357726c930a16
1426816787752c
151252a05bd865
hex918cc586c34

10002112212020 has 24 divisors (see below), whose sum is σ = 21400745754024. Its totient is φ = 3925357245056.

The previous prime is 10002112211989. The next prime is 10002112212047. The reversal of 10002112212020 is 2021221120001.

It can be written as a sum of positive squares in 4 ways, for example, as 276932747536 + 9725179464484 = 526244^2 + 3118522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10002112211986 and 10002112212004.

It is a congruent number.

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, 4717976399 + ... + 4717978518.

It is an arithmetic number, because the mean of its divisors is an integer number (891697739751).

Almost surely, 210002112212020 is an apocalyptic number.

10002112212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002112212020 is an abundant number, since it is smaller than the sum of its proper divisors (11398633542004).

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

10002112212020 is a wasteful number, since it uses less digits than its factorization.

10002112212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9435954979 (or 9435954977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10002112212020 its reverse (2021221120001), we get a palindrome (12023333332021).

The spelling of 10002112212020 in words is "ten trillion, two billion, one hundred twelve million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 9435954917 18871909834 37743819668 47179774585 94359549170 188719098340 500105610601 1000211221202 2000422442404 2500528053005 5001056106010 10002112212020