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22121012100 = 22352116703337
BaseRepresentation
bin10100100110100000…
…111101101110000100
32010002122120211212110
4110212200331232010
5330300434341400
614055014021020
71412115333435
oct244640755604
963078524773
1022121012100
119421809890
124354347770
132116c41795
1410dbc8148c
15897083e50
hex52683db84

22121012100 has 72 divisors (see below), whose sum is σ = 69821968608. Its totient is φ = 5362668800.

The previous prime is 22121012083. The next prime is 22121012101. The reversal of 22121012100 is 121012122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22121012101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3348369 + ... + 3354968.

It is an arithmetic number, because the mean of its divisors is an integer number (969749564).

Almost surely, 222121012100 is an apocalyptic number.

22121012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121012100 is an abundant number, since it is smaller than the sum of its proper divisors (47700956508).

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

22121012100 is a wasteful number, since it uses less digits than its factorization.

22121012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703365 (or 6703358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22121012100 its reverse (121012122), we get a palindrome (22242024222).

The spelling of 22121012100 in words is "twenty-two billion, one hundred twenty-one million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6703337 13406674 20110011 26813348 33516685 40220022 67033370 73736707 80440044 100550055 134066740 147473414 167583425 201100110 221210121 294946828 335166850 368683535 402200220 442420242 502750275 670333700 737367070 884840484 1005500550 1106050605 1474734140 1843417675 2011001100 2212101210 3686835350 4424202420 5530253025 7373670700 11060506050 22121012100