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12140101311100 = 22527113957152189
BaseRepresentation
bin1011000010101001011001…
…1011010001101001111100
31120222120201112102010020121
42300222112123101221330
53042400411413423400
641453030251224324
72362044012344320
oct260522633215174
946876645363217
1012140101311100
113960651775524
1214409bb4480a4
136a0a64264079
142dd82685d980
15160bd29a521a
hexb0a966d1a7c

12140101311100 has 72 divisors (see below), whose sum is σ = 30107913282720. Its totient is φ = 4162256574720.

The previous prime is 12140101311083. The next prime is 12140101311161. The reversal of 12140101311100 is 111310104121.

12140101311100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79693806 + ... + 79845994.

It is an arithmetic number, because the mean of its divisors is an integer number (418165462260).

Almost surely, 212140101311100 is an apocalyptic number.

12140101311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12140101311100 is an abundant number, since it is smaller than the sum of its proper divisors (17967811971620).

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

12140101311100 is a wasteful number, since it uses less digits than its factorization.

12140101311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266167 (or 266160 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12140101311100 its reverse (111310104121), we get a palindrome (12251411415221).

The spelling of 12140101311100 in words is "twelve trillion, one hundred forty billion, one hundred one million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 113957 152189 227914 304378 455828 569785 608756 760945 797699 1065323 1139570 1521890 1595398 2130646 2279140 2848925 3043780 3190796 3804725 3988495 4261292 5326615 5697850 7609450 7976990 10653230 11395700 15218900 15953980 19942475 21306460 26633075 39884950 53266150 79769900 106532300 17343001873 34686003746 69372007492 86715009365 121401013111 173430018730 242802026222 346860037460 433575046825 485604052444 607005065555 867150093650 1214010131110 1734300187300 2428020262220 3035025327775 6070050655550 12140101311100