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12155314041 = 32131747130027
BaseRepresentation
bin10110101001000001…
…10101111101111001
31011101010100221011100
423110200311331321
5144343230022131
65330054322013
7610135315233
oct132440657571
934333327140
1012155314041
1151783a3392
122432959309
1311b93a4420
148344cb253
154b21ee7e6
hex2d4835f79

12155314041 has 48 divisors (see below), whose sum is σ = 20446642944. Its totient is φ = 6890337792.

The previous prime is 12155314027. The next prime is 12155314043. The reversal of 12155314041 is 14041355121.

12155314041 is a `hidden beast` number, since 121 + 5 + 531 + 4 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 12155314041 - 25 = 12155314009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12155313996 and 12155314014.

It is not an unprimeable number, because it can be changed into a prime (12155314043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28470 + ... + 158496.

It is an arithmetic number, because the mean of its divisors is an integer number (425971728).

Almost surely, 212155314041 is an apocalyptic number.

It is an amenable number.

12155314041 is a deficient number, since it is larger than the sum of its proper divisors (8291328903).

12155314041 is a wasteful number, since it uses less digits than its factorization.

12155314041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130110 (or 130107 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 12155314041 its reverse (14041355121), we get a palindrome (26196669162).

The spelling of 12155314041 in words is "twelve billion, one hundred fifty-five million, three hundred fourteen thousand, forty-one".

Divisors: 1 3 9 13 17 39 47 51 117 141 153 221 423 611 663 799 1833 1989 2397 5499 7191 10387 31161 93483 130027 390081 1170243 1690351 2210459 5071053 6111269 6631377 15213159 18333807 19894131 28735967 55001421 79446497 86207901 103891573 238339491 258623703 311674719 715018473 935024157 1350590449 4051771347 12155314041