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13140011141100 = 22335210347249231
BaseRepresentation
bin1011111100110110010110…
…1100100100011111101100
31201112011122222011102202000
42333031211230210133230
53210241220323003400
643540234321132300
72524222503562134
oct277154554443754
951464588142660
1013140011141100
114206713803358
12158275718a090
1374413694b47c
14335da0d13ac4
1517bc06359600
hexbf365b247ec

13140011141100 has 144 divisors (see below), whose sum is σ = 42652826711040. Its totient is φ = 3469983451200.

The previous prime is 13140011141087. The next prime is 13140011141143. The reversal of 13140011141100 is 114111004131.

13140011141100 is a `hidden beast` number, since 1 + 3 + 140 + 0 + 111 + 411 + 0 + 0 = 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, 23346516 + ... + 23902715.

Almost surely, 213140011141100 is an apocalyptic number.

13140011141100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140011141100 is an abundant number, since it is smaller than the sum of its proper divisors (29512815569940).

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

13140011141100 is a wasteful number, since it uses less digits than its factorization.

13140011141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47249357 (or 47249344 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 13140011141100 its reverse (114111004131), we get a palindrome (13254122145231).

The spelling of 13140011141100 in words is "thirteen trillion, one hundred forty billion, eleven million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 103 108 135 150 180 206 225 270 300 309 412 450 515 540 618 675 900 927 1030 1236 1350 1545 1854 2060 2575 2700 2781 3090 3708 4635 5150 5562 6180 7725 9270 10300 11124 13905 15450 18540 23175 27810 30900 46350 55620 69525 92700 139050 278100 47249231 94498462 141747693 188996924 236246155 283495386 425243079 472492310 566990772 708738465 850486158 944984620 1181230775 1275729237 1417476930 1700972316 2126215395 2362461550 2551458474 2834953860 3543692325 4252430790 4724923100 4866670793 5102916948 6378646185 7087384650 8504861580 9733341586 10631076975 12757292370 14174769300 14600012379 19466683172 21262153950 24333353965 25514584740 29200024758 31893230925 42524307900 43800037137 48666707930 58400049516 63786461850 73000061895 87600074274 97333415860 121666769825 127572923700 131400111411 146000123790 175200148548 219000185685 243333539650 262800222822 292000247580 365000309475 438000371370 486667079300 525600445644 657000557055 730000618950 876000742740 1095000928425 1314001114110 1460001237900 2190001856850 2628002228220 3285002785275 4380003713700 6570005570550 13140011141100