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21122312200 = 23521123417437
BaseRepresentation
bin10011101010111111…
…001110100000001000
32000112001100122011021
4103222333032200020
5321224302442300
613411540242224
71345300456063
oct235277164010
960461318137
1021122312200
118a59aa3870
1241159a0374
131cb806b2b2
1410453918da
1583955cd1a
hex4eafce808

21122312200 has 96 divisors (see below), whose sum is σ = 55903296960. Its totient is φ = 7346873600.

The previous prime is 21122312173. The next prime is 21122312249. The reversal of 21122312200 is 221322112.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158119 + ... + 259318.

It is an arithmetic number, because the mean of its divisors is an integer number (582326010).

Almost surely, 221122312200 is an apocalyptic number.

21122312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122312200 is an abundant number, since it is smaller than the sum of its proper divisors (34780984760).

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

21122312200 is a wasteful number, since it uses less digits than its factorization.

21122312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417487 (or 417478 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21122312200 its reverse (221322112), we get a palindrome (21343634312).

The spelling of 21122312200 in words is "twenty-one billion, one hundred twenty-two million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4600 5060 6325 10120 12650 25300 50600 417437 834874 1669748 2087185 3339496 4174370 4591807 8348740 9183614 9601051 10435925 16697480 18367228 19202102 20871850 22959035 36734456 38404204 41743700 45918070 48005255 76808408 83487400 91836140 96010510 105611561 114795175 183672280 192021020 211223122 229590350 240026275 384042040 422446244 459180700 480052550 528057805 844892488 918361400 960105100 1056115610 1920210200 2112231220 2640289025 4224462440 5280578050 10561156100 21122312200