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13313203011192 = 2337477757217361
BaseRepresentation
bin1100000110111011100010…
…1111000111111001111000
31202010201201000020000111010
43001232320233013321320
53221110414432324232
644152000120033520
72542563403310040
oct301567057077170
952121630200433
1013313203011192
114273109030797
1215b02309028a0
13757577c58786
1434051085a720
15181490ee90cc
hexc1bb8bc7e78

13313203011192 has 128 divisors (see below), whose sum is σ = 38852222883840. Its totient is φ = 3722343905280.

The previous prime is 13313203011149. The next prime is 13313203011193. The reversal of 13313203011192 is 29111030231331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313203011193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61140592 + ... + 61357952.

It is an arithmetic number, because the mean of its divisors is an integer number (303532991280).

Almost surely, 213313203011192 is an apocalyptic number.

13313203011192 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 13313203011192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19426111441920).

13313203011192 is an abundant number, since it is smaller than the sum of its proper divisors (25539019872648).

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

13313203011192 is a wasteful number, since it uses less digits than its factorization.

13313203011192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225181 (or 225177 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 13313203011192 in words is "thirteen trillion, three hundred thirteen billion, two hundred three million, eleven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 7757 7896 15514 23271 31028 46542 54299 62056 93084 108598 162897 186168 217196 217361 325794 364579 434392 434722 651588 652083 729158 869444 1093737 1303176 1304166 1458316 1521527 1738888 2187474 2552053 2608332 2916632 3043054 4374948 4564581 5104106 5216664 6086108 7656159 8749896 9129162 10208212 10215967 12172216 15312318 18258324 20416424 20431934 30624636 30647901 36516648 40863868 61249272 61295802 71511769 81727736 122591604 143023538 214535307 245183208 286047076 429070614 572094152 858141228 1686069277 1716282456 3372138554 5058207831 6744277108 10116415662 11802484939 13488554216 20232831324 23604969878 35407454817 40465662648 47209939756 70814909634 79245256019 94419879512 141629819268 158490512038 237735768057 283259638536 316981024076 475471536114 554716792133 633962048152 950943072228 1109433584266 1664150376399 1901886144456 2218867168532 3328300752798 4437734337064 6656601505596 13313203011192