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13313213232 = 2431147737349
BaseRepresentation
bin11000110011000011…
…11000001100110000
31021100211011022020120
430121201320030300
5204231140310412
610041020210240
7650625305514
oct143141701460
937324138216
1013313213232
115711a64170
1226b6699980
131342247a87
149041bc144
1552dbc0b8c
hex319878330

13313213232 has 160 divisors (see below), whose sum is σ = 38847513600. Its totient is φ = 3893852160.

The previous prime is 13313213209. The next prime is 13313213321. The reversal of 13313213232 is 23231231331.

It is a super-3 number, since 3×133132132323 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1807894 + ... + 1815242.

It is an arithmetic number, because the mean of its divisors is an integer number (242796960).

Almost surely, 213313213232 is an apocalyptic number.

13313213232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19423756800).

13313213232 is an abundant number, since it is smaller than the sum of its proper divisors (25534300368).

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

13313213232 is a wasteful number, since it uses less digits than its factorization.

13313213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491 (or 7485 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 13313213232 its reverse (23231231331), we get a palindrome (36544444563).

The spelling of 13313213232 in words is "thirteen billion, three hundred thirteen million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 73 88 94 132 141 146 176 188 219 264 282 292 376 438 517 528 564 584 752 803 876 1034 1128 1168 1551 1606 1752 2068 2256 2409 3102 3212 3431 3504 4136 4818 6204 6424 6862 7349 8272 9636 10293 12408 12848 13724 14698 19272 20586 22047 24816 27448 29396 37741 38544 41172 44094 54896 58792 75482 80839 82344 88188 113223 117584 150964 161678 164688 176376 226446 242517 301928 323356 345403 352752 452892 485034 536477 603856 646712 690806 905784 970068 1036209 1072954 1293424 1381612 1609431 1811568 1940136 2072418 2145908 2763224 3218862 3799433 3880272 4144836 4291816 5526448 5901247 6437724 7598866 8289672 8583632 11398299 11802494 12875448 15197732 16579344 17703741 22796598 23604988 25214419 25750896 30395464 35407482 45593196 47209976 50428838 60790928 70814964 75643257 91186392 94419952 100857676 141629928 151286514 182372784 201715352 277358609 283259856 302573028 403430704 554717218 605146056 832075827 1109434436 1210292112 1664151654 2218868872 3328303308 4437737744 6656606616 13313213232