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13102131120012 = 22331122934572821
BaseRepresentation
bin1011111010101001001111…
…0111110000011110001100
31201101112220001012222121000
42332222103313300132030
53204131131031320022
643511011432540300
72521412010655644
oct276522367603614
951345801188530
1013102131120012
1141a1645499900
121577345251690
137406aab606cc
1433420a113524
1517ac3aa346ac
hexbea93df078c

13102131120012 has 144 divisors (see below), whose sum is σ = 38624756738400. Its totient is φ = 3833434281600.

The previous prime is 13102131119969. The next prime is 13102131120031. The reversal of 13102131120012 is 21002113120131.

13102131120012 is a `hidden beast` number, since 1 + 310 + 21 + 311 + 20 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16907439 + ... + 17665382.

It is an arithmetic number, because the mean of its divisors is an integer number (268227477350).

Almost surely, 213102131120012 is an apocalyptic number.

13102131120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13102131120012 is an abundant number, since it is smaller than the sum of its proper divisors (25522625618388).

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

13102131120012 is a wasteful number, since it uses less digits than its factorization.

13102131120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34572885 (or 34572866 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13102131120012 its reverse (21002113120131), we get a palindrome (34104244240143).

The spelling of 13102131120012 in words is "thirteen trillion, one hundred two billion, one hundred thirty-one million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 121 132 174 198 242 261 297 319 348 363 396 484 522 594 638 726 783 957 1044 1089 1188 1276 1452 1566 1914 2178 2871 3132 3267 3509 3828 4356 5742 6534 7018 8613 10527 11484 13068 14036 17226 21054 31581 34452 42108 63162 94743 126324 189486 378972 34572821 69145642 103718463 138291284 207436926 311155389 380301031 414873852 622310778 760602062 933466167 1002611809 1140903093 1244621556 1521204124 1866932334 2005223618 2281806186 3007835427 3422709279 3733864668 4010447236 4183311341 4563612372 6015670854 6845418558 8366622682 9023506281 10268127837 11028729899 12031341708 12549934023 13690837116 16733245364 18047012562 20536255674 22057459798 25099868046 27070518843 33086189697 36094025124 37649802069 41072511348 44114919596 50199736092 54141037686 66172379394 75299604138 99258569091 108282075372 112949406207 121316028889 132344758788 150599208276 198517138182 225898812414 242632057778 297775707273 363948086667 397034276364 451797624828 485264115556 595551414546 727896173334 1091844260001 1191102829092 1455792346668 2183688520002 3275532780003 4367377040004 6551065560006 13102131120012