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12155005140 = 22353141159389
BaseRepresentation
bin10110101000111111…
…01010100011010100
31011101002210020102120
423110133222203110
5144343140131030
65330043535540
7610132560525
oct132437524324
934332706376
1012155005140
1151782022a3
12243282a5b0
1311b92c6945
1483444a84c
154b218d010
hex2d47ea8d4

12155005140 has 96 divisors (see below), whose sum is σ = 35988986880. Its totient is φ = 3060249600.

The previous prime is 12155005139. The next prime is 12155005141. The reversal of 12155005140 is 4150055121.

It is an interprime number because it is at equal distance from previous prime (12155005139) and next prime (12155005141).

It is a self number, because there is not a number n which added to its sum of digits gives 12155005140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12155005141) 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, 3435 + ... + 155954.

It is an arithmetic number, because the mean of its divisors is an integer number (374885280).

Almost surely, 212155005140 is an apocalyptic number.

12155005140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12155005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994493440).

12155005140 is an abundant number, since it is smaller than the sum of its proper divisors (23833981740).

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

12155005140 is a wasteful number, since it uses less digits than its factorization.

12155005140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159473 (or 159471 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The spelling of 12155005140 in words is "twelve billion, one hundred fifty-five million, five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 93 123 124 155 164 186 205 246 310 372 410 465 492 615 620 820 930 1230 1271 1860 2460 2542 3813 5084 6355 7626 12710 15252 19065 25420 38130 76260 159389 318778 478167 637556 796945 956334 1593890 1912668 2390835 3187780 4781670 4941059 6534949 9563340 9882118 13069898 14823177 19604847 19764236 24705295 26139796 29646354 32674745 39209694 49410590 59292708 65349490 74115885 78419388 98024235 98821180 130698980 148231770 196048470 202583419 296463540 392096940 405166838 607750257 810333676 1012917095 1215500514 2025834190 2431001028 3038751285 4051668380 6077502570 12155005140