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13222021020 = 22351330675527
BaseRepresentation
bin11000101000001100…
…00000011110011100
31021010110120021001020
430110012000132130
5204034314133040
610024001444140
7645440216145
oct142406003634
937113507036
1013222021020
1156755390aa
122690040650
1313293992a0
148d6040acc
15525baacd0
hex31418079c

13222021020 has 96 divisors (see below), whose sum is σ = 39889694208. Its totient is φ = 3253001472.

The previous prime is 13222021013. The next prime is 13222021049. The reversal of 13222021020 is 2012022231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2389497 + ... + 2395023.

It is an arithmetic number, because the mean of its divisors is an integer number (415517648).

Almost surely, 213222021020 is an apocalyptic number.

13222021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222021020 is an abundant number, since it is smaller than the sum of its proper divisors (26667673188).

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

13222021020 is a wasteful number, since it uses less digits than its factorization.

13222021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8619 (or 8617 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13222021020 its reverse (2012022231), we get a palindrome (15234043251).

The spelling of 13222021020 in words is "thirteen billion, two hundred twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 3067 5527 6134 9201 11054 12268 15335 16581 18402 22108 27635 30670 33162 36804 39871 46005 55270 61340 66324 71851 79742 82905 92010 110540 119613 143702 159484 165810 184020 199355 215553 239226 287404 331620 359255 398710 431106 478452 598065 718510 797420 862212 1077765 1196130 1437020 2155530 2392260 4311060 16951309 33902618 50853927 67805236 84756545 101707854 169513090 203415708 220367017 254269635 339026180 440734034 508539270 661101051 881468068 1017078540 1101835085 1322202102 2203670170 2644404204 3305505255 4407340340 6611010510 13222021020