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13331311131012 = 2237298961490153
BaseRepresentation
bin1100000111111111000000…
…0100000111100110000100
31202012110102222211211000120
43001333300010013212010
53221410011122143022
644204153023541540
72544104213633220
oct301776004074604
952173388754016
1013331311131012
11427a860650176
1215b384515a8b0
137591a26b3684
1434134b78d780
15181ba0b0cd5c
hexc1ff0107984

13331311131012 has 96 divisors (see below), whose sum is σ = 37189245139200. Its totient is φ = 3636281628672.

The previous prime is 13331311130971. The next prime is 13331311131029. The reversal of 13331311131012 is 21013111313331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30528273 + ... + 30961880.

It is an arithmetic number, because the mean of its divisors is an integer number (387387970200).

Almost surely, 213331311131012 is an apocalyptic number.

13331311131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13331311131012 is an abundant number, since it is smaller than the sum of its proper divisors (23857934008188).

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

13331311131012 is a wasteful number, since it uses less digits than its factorization.

13331311131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61490285 (or 61490283 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 13331311131012 its reverse (21013111313331), we get a palindrome (34344422444343).

The spelling of 13331311131012 in words is "thirteen trillion, three hundred thirty-one billion, three hundred eleven million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 89 116 174 178 203 267 348 356 406 534 609 623 812 1068 1218 1246 1869 2436 2492 2581 3738 5162 7476 7743 10324 15486 18067 30972 36134 54201 72268 108402 216804 61490153 122980306 184470459 245960612 368940918 430431071 737881836 860862142 1291293213 1721724284 1783214437 2582586426 3566428874 5165172852 5349643311 5472623617 7132857748 10699286622 10945247234 12482501059 16417870851 21398573244 21890494468 24965002118 32835741702 37447503177 38308365319 49930004236 65671483404 74895006354 76616730638 114925095957 149790012708 153233461276 158706084893 229850191914 317412169786 459700383828 476118254679 634824339572 952236509358 1110942594251 1904473018716 2221885188502 3332827782753 4443770377004 6665655565506 13331311131012