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10222101212100 = 22352172004333571
BaseRepresentation
bin1001010011000000010010…
…1101100010101111000100
31100012020000210211211200220
42110300010231202233010
52314434330402241400
633423545104504340
72103344124451101
oct224600455425704
940166023754626
1010222101212100
11329119470aa68
12119114101b0b0
13591c2b275a9b
14274a765b9aa8
1512ad788397a0
hex94c04b62bc4

10222101212100 has 72 divisors (see below), whose sum is σ = 31315707728928. Its totient is φ = 2565546969600.

The previous prime is 10222101212053. The next prime is 10222101212143. The reversal of 10222101212100 is 121210122201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10222101212100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002161686 + ... + 1002171885.

It is an arithmetic number, because the mean of its divisors is an integer number (434940385124).

Almost surely, 210222101212100 is an apocalyptic number.

10222101212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222101212100 is an abundant number, since it is smaller than the sum of its proper divisors (21093606516828).

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

10222101212100 is a wasteful number, since it uses less digits than its factorization.

10222101212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004333605 (or 2004333598 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10222101212100 its reverse (121210122201), we get a palindrome (10343311334301).

The spelling of 10222101212100 in words is "ten trillion, two hundred twenty-two billion, one hundred one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 2004333571 4008667142 6013000713 8017334284 10021667855 12026001426 20043335710 24052002852 30065003565 34073670707 40086671420 50108339275 60130007130 68147341414 100216678550 102221012121 120260014260 136294682828 150325017825 170368353535 200433357100 204442024242 300650035650 340736707070 408884048484 511105060605 601300071300 681473414140 851841767675 1022210121210 1703683535350 2044420242420 2555525303025 3407367070700 5111050606050 10222101212100