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21213125440 = 265135099309
BaseRepresentation
bin10011110000011001…
…101001101101000000
32000202101020102111121
4103300121221231000
5321421030003230
613424542522024
71350452406523
oct236031515500
960671212447
1021213125440
118aa6290131
124140296314
132000b16440
141053470bba
158424ea77a
hex4f0669b40

21213125440 has 56 divisors (see below), whose sum is σ = 54399439080. Its totient is φ = 7832537088.

The previous prime is 21213125413. The next prime is 21213125443. The reversal of 21213125440 is 4452131212.

It can be written as a sum of positive squares in 4 ways, for example, as 157954624 + 21055170816 = 12568^2 + 145104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213125443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2545495 + ... + 2553814.

It is an arithmetic number, because the mean of its divisors is an integer number (971418555).

Almost surely, 221213125440 is an apocalyptic number.

21213125440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21213125440 is an abundant number, since it is smaller than the sum of its proper divisors (33186313640).

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

21213125440 is a wasteful number, since it uses less digits than its factorization.

21213125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099339 (or 5099329 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 21213125440 its reverse (4452131212), we get a palindrome (25665256652).

The spelling of 21213125440 in words is "twenty-one billion, two hundred thirteen million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 5099309 10198618 20397236 25496545 40794472 50993090 66291017 81588944 101986180 132582034 163177888 203972360 265164068 326355776 331455085 407944720 530328136 662910170 815889440 1060656272 1325820340 1631778880 2121312544 2651640680 4242625088 5303281360 10606562720 21213125440