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13101123312012 = 22323291799144257
BaseRepresentation
bin1011111010100101011111…
…0011010001100110001100
31201101110021210212000220210
42332221113303101212030
53204122100031441022
643510323432042420
72521345022515131
oct276512763214614
951343253760823
1013101123312012
1141a117862282a
121577103833410
1374057a11b608
14334152332588
1517abcc30ea0c
hexbea57cd198c

13101123312012 has 96 divisors (see below), whose sum is σ = 33182683430400. Its totient is φ = 4010597527552.

The previous prime is 13101123311999. The next prime is 13101123312019. The reversal of 13101123312012 is 21021332110131.

It is a self number, because there is not a number n which added to its sum of digits gives 13101123312012.

It is not an unprimeable number, because it can be changed into a prime (13101123312019) 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, 3139413 + ... + 6004844.

It is an arithmetic number, because the mean of its divisors is an integer number (345652952400).

Almost surely, 213101123312012 is an apocalyptic number.

13101123312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13101123312012 is an abundant number, since it is smaller than the sum of its proper divisors (20081560118388).

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

13101123312012 is a wasteful number, since it uses less digits than its factorization.

13101123312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9144495 (or 9144493 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13101123312012 its reverse (21021332110131), we get a palindrome (34122455422143).

The spelling of 13101123312012 in words is "thirteen trillion, one hundred one billion, one hundred twenty-three million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 179 276 348 358 537 667 716 1074 1334 2001 2148 2668 4002 4117 5191 8004 8234 10382 12351 15573 16468 20764 24702 31146 49404 62292 119393 238786 358179 477572 716358 1432716 9144257 18288514 27432771 36577028 54865542 109731084 210317911 265183453 420635822 530366906 630953733 795550359 841271644 1060733812 1261907466 1591100718 1636822003 2523814932 3182201436 3273644006 4910466009 6099219419 6547288012 9820932018 12198438838 18297658257 19641864036 24396877676 36595316514 37646906069 47467838087 73190633028 75293812138 94935676174 112940718207 142403514261 150587624276 189871352348 225881436414 284807028522 451762872828 569614057044 1091760276001 2183520552002 3275280828003 4367041104004 6550561656006 13101123312012