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12151533140 = 22531179223491
BaseRepresentation
bin10110101000100100…
…11010111001010100
31011100212020211201222
423110102122321110
5144341243030030
65325441305512
7610061220215
oct132422327124
934325224658
1012151533140
11517625077a
122431635298
1311b867c4c6
14833bc540c
154b1c043e5
hex2d449ae54

12151533140 has 96 divisors (see below), whose sum is σ = 26661519360. Its totient is φ = 4647081600.

The previous prime is 12151533133. The next prime is 12151533143. The reversal of 12151533140 is 4133515121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12151533143) 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, 24748295 + ... + 24748785.

It is an arithmetic number, because the mean of its divisors is an integer number (277724160).

Almost surely, 212151533140 is an apocalyptic number.

12151533140 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 12151533140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330759680).

12151533140 is an abundant number, since it is smaller than the sum of its proper divisors (14509986220).

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

12151533140 is a wasteful number, since it uses less digits than its factorization.

12151533140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 12151533140 in words is "twelve billion, one hundred fifty-one million, five hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 179 223 310 358 446 491 620 716 892 895 982 1115 1790 1964 2230 2455 3580 4460 4910 5549 6913 9820 11098 13826 15221 22196 27652 27745 30442 34565 39917 55490 60884 69130 76105 79834 87889 109493 110980 138260 152210 159668 175778 199585 218986 304420 351556 399170 437972 439445 547465 798340 878890 1094930 1237427 1757780 2189860 2474854 2724559 3394283 4949708 5449118 6187135 6788566 10898236 12374270 13577132 13622795 16971415 19599247 24748540 27245590 33942830 39198494 54491180 67885660 78396988 97996235 195992470 391984940 607576657 1215153314 2430306628 3037883285 6075766570 12151533140