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21213222100 = 2252724329229
BaseRepresentation
bin10011110000011010…
…000001010011010100
32000202101102100002121
4103300122001103110
5321421041101400
613424544545324
71350453261400
oct236032012324
960671370077
1021213222100
118aa6346814
124140322244
132000b4b435
141053498100
1584251921a
hex4f06814d4

21213222100 has 54 divisors (see below), whose sum is σ = 53548245870. Its totient is φ = 7273103040.

The previous prime is 21213222089. The next prime is 21213222109. The reversal of 21213222100 is 122231212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 797384644 + 20415837456 = 28238^2 + 142884^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213222109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2159715 + ... + 2169514.

Almost surely, 221213222100 is an apocalyptic number.

21213222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21213222100 is an abundant number, since it is smaller than the sum of its proper divisors (32335023770).

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

21213222100 is a wasteful number, since it uses less digits than its factorization.

21213222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329257 (or 4329243 counting only the distinct ones).

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

Adding to 21213222100 its reverse (122231212), we get a palindrome (21335453312).

The spelling of 21213222100 in words is "twenty-one billion, two hundred thirteen million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 4329229 8658458 17316916 21646145 30304603 43292290 60609206 86584580 108230725 121218412 151523015 212132221 216461450 303046030 424264442 432922900 606092060 757615075 848528884 1060661105 1515230150 2121322210 3030460300 4242644420 5303305525 10606611050 21213222100