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13221331290 = 23251754115973
BaseRepresentation
bin11000101000000110…
…11000000101011010
31021010102021012220200
430110003120011122
5204034130100130
610023535003030
7645431314236
oct142403300532
937112235820
1013221331290
115675107982
12268b969476
1313291b736b
148d5d015c6
15525ac1760
hex3140d815a

13221331290 has 96 divisors (see below), whose sum is σ = 36467108496. Its totient is φ = 3311953920.

The previous prime is 13221331289. The next prime is 13221331313. The reversal of 13221331290 is 9213312231.

13221331290 is a `hidden beast` number, since 1 + 322 + 1 + 331 + 2 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8609427369 + 4611903921 = 92787^2 + 67911^2 .

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 47 ways as a sum of consecutive naturals, for example, 819744 + ... + 835716.

Almost surely, 213221331290 is an apocalyptic number.

13221331290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221331290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18233554248).

13221331290 is an abundant number, since it is smaller than the sum of its proper divisors (23245777206).

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

13221331290 is a wasteful number, since it uses less digits than its factorization.

13221331290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16544 (or 16541 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 13221331290 in words is "thirteen billion, two hundred twenty-one million, three hundred thirty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 541 765 1082 1530 1623 2705 3246 4869 5410 8115 9197 9738 15973 16230 18394 24345 27591 31946 45985 47919 48690 55182 79865 82773 91970 95838 137955 143757 159730 165546 239595 271541 275910 287514 413865 479190 543082 718785 814623 827730 1357705 1437570 1629246 2443869 2715410 4073115 4887738 8146230 8641393 12219345 17282786 24438690 25924179 43206965 51848358 77772537 86413930 129620895 146903681 155545074 259241790 293807362 388862685 440711043 734518405 777725370 881422086 1322133129 1469036810 2203555215 2644266258 4407110430 6610665645 13221331290