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130153200012 = 223211337975281
BaseRepresentation
bin111100100110110111…
…1000011100110001100
3110102221121012121112100
41321031233003212030
54113023204400022
6135442550435100
712255213642423
oct1711557034614
9412847177470
10130153200012
115021a0a7610
1221284062a90
13c372854124
1464299882ba
1535bb5261ac
hex1e4dbc398c

130153200012 has 72 divisors (see below), whose sum is σ = 359972685072. Its totient is φ = 39323289600.

The previous prime is 130153200011. The next prime is 130153200017. The reversal of 130153200012 is 210002351031.

130153200012 is a `hidden beast` number, since 130 + 1 + 532 + 0 + 0 + 0 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (130153200011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354189 + ... + 621092.

It is an arithmetic number, because the mean of its divisors is an integer number (4999620626).

Almost surely, 2130153200012 is an apocalyptic number.

130153200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130153200012 is an abundant number, since it is smaller than the sum of its proper divisors (229819485060).

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

130153200012 is a wasteful number, since it uses less digits than its factorization.

130153200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975639 (or 975634 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 130153200012 its reverse (210002351031), we get a palindrome (340155551043).

The spelling of 130153200012 in words is "one hundred thirty billion, one hundred fifty-three million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 337 396 674 1011 1348 2022 3033 3707 4044 6066 7414 11121 12132 14828 22242 33363 44484 66726 133452 975281 1950562 2925843 3901124 5851686 8777529 10728091 11703372 17555058 21456182 32184273 35110116 42912364 64368546 96552819 128737092 193105638 328669697 386211276 657339394 986009091 1314678788 1972018182 2958027273 3615366667 3944036364 5916054546 7230733334 10846100001 11832109092 14461466668 21692200002 32538300003 43384400004 65076600006 130153200012