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21223742100 = 22352116431437
BaseRepresentation
bin10011110001000010…
…001001101010010100
32000210010012210211020
4103301002021222110
5321431234221400
613430002241140
71350641555061
oct236102115224
960703183736
1021223742100
119001281630
1241439561b0
1320030928a2
141054a35c68
158433e62a0
hex4f1089a94

21223742100 has 72 divisors (see below), whose sum is σ = 66989858208. Its totient is φ = 5145148800.

The previous prime is 21223742093. The next prime is 21223742101. The reversal of 21223742100 is 124732212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223742101) 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, 3212419 + ... + 3219018.

Almost surely, 221223742100 is an apocalyptic number.

21223742100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21223742100 is an abundant number, since it is smaller than the sum of its proper divisors (45766116108).

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

21223742100 is a wasteful number, since it uses less digits than its factorization.

21223742100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431465 (or 6431458 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 21223742100 in words is "twenty-one billion, two hundred twenty-three million, seven hundred forty-two 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 6431437 12862874 19294311 25725748 32157185 38588622 64314370 70745807 77177244 96471555 128628740 141491614 160785925 192943110 212237421 282983228 321571850 353729035 385886220 424474842 482357775 643143700 707458070 848949684 964715550 1061187105 1414916140 1768645175 1929431100 2122374210 3537290350 4244748420 5305935525 7074580700 10611871050 21223742100