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22100012020 = 2252938103469
BaseRepresentation
bin10100100101010000…
…110110101111110100
32010001012001221011201
4110211100312233310
5330230100341040
614052543542244
71411442000632
oct244520665764
963035057151
1022100012020
119410976149
1243492ba984
13211279b0b8
1410d9176352
158952d6a9a
hex525436bf4

22100012020 has 24 divisors (see below), whose sum is σ = 48010372200. Its totient is φ = 8535176832.

The previous prime is 22100011993. The next prime is 22100012023. The reversal of 22100012020 is 2021000122.

It can be written as a sum of positive squares in 4 ways, for example, as 8468048484 + 13631963536 = 92022^2 + 116756^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22100011988 and 22100012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100012023) 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, 19051155 + ... + 19052314.

It is an arithmetic number, because the mean of its divisors is an integer number (2000432175).

Almost surely, 222100012020 is an apocalyptic number.

22100012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100012020 is an abundant number, since it is smaller than the sum of its proper divisors (25910360180).

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

22100012020 is a wasteful number, since it uses less digits than its factorization.

22100012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38103507 (or 38103505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22100012020 its reverse (2021000122), we get a palindrome (24121012142).

The spelling of 22100012020 in words is "twenty-two billion, one hundred million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 38103469 76206938 152413876 190517345 381034690 762069380 1105000601 2210001202 4420002404 5525003005 11050006010 22100012020