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13100314140 = 2233524259841
BaseRepresentation
bin11000011001101011…
…01110111000011100
31020210222112220121000
430030311232320130
5203312140023030
610003533110300
7642431555454
oct141465567034
936728486530
1013100314140
115612870a01
122657328390
13130a0c5494
148c3bdcd64
1551a169860
hex30cd6ee1c

13100314140 has 48 divisors (see below), whose sum is σ = 40756534560. Its totient is φ = 3493416960.

The previous prime is 13100314133. The next prime is 13100314141. The reversal of 13100314140 is 4141300131.

13100314140 is a `hidden beast` number, since 1 + 310 + 0 + 314 + 1 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100314141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12129381 + ... + 12130460.

It is an arithmetic number, because the mean of its divisors is an integer number (849094470).

Almost surely, 213100314140 is an apocalyptic number.

13100314140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100314140 is an abundant number, since it is smaller than the sum of its proper divisors (27656220420).

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

13100314140 is a wasteful number, since it uses less digits than its factorization.

13100314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24259859 (or 24259851 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13100314140 its reverse (4141300131), we get a palindrome (17241614271).

The spelling of 13100314140 in words is "thirteen billion, one hundred million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 24259841 48519682 72779523 97039364 121299205 145559046 218338569 242598410 291118092 363897615 436677138 485196820 655015707 727795230 873354276 1091692845 1310031414 1455590460 2183385690 2620062828 3275078535 4366771380 6550157070 13100314140