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130032003312 = 243219311533107
BaseRepresentation
bin111100100011010000…
…0101110100011110000
3110102122011011011220200
41321012200232203300
54112301143101222
6135422541035200
712252212535321
oct1710640564360
9412564134820
10130032003312
1150167748752
122124b555b00
13c3536cb5c3
14641783a448
1535b0a85eac
hex1e4682e8f0

130032003312 has 120 divisors (see below), whose sum is σ = 395419215360. Its totient is φ = 39738107520.

The previous prime is 130032003251. The next prime is 130032003319. The reversal of 130032003312 is 213300230031.

130032003312 is a `hidden beast` number, since 1 + 30 + 0 + 320 + 0 + 3 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130032003319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681738 + ... + 851369.

It is an arithmetic number, because the mean of its divisors is an integer number (3295160128).

Almost surely, 2130032003312 is an apocalyptic number.

130032003312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130032003312 is an abundant number, since it is smaller than the sum of its proper divisors (265387212048).

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

130032003312 is a wasteful number, since it uses less digits than its factorization.

130032003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533171 (or 1533162 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130032003312 its reverse (213300230031), we get a palindrome (343332233343).

The spelling of 130032003312 in words is "one hundred thirty billion, thirty-two million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1116 1178 1368 1488 1767 2232 2356 2736 3534 4464 4712 5301 7068 9424 10602 14136 21204 28272 42408 84816 1533107 3066214 4599321 6132428 9198642 12264856 13797963 18397284 24529712 27595926 29129033 36794568 47526317 55191852 58258066 73589136 87387099 95052634 110383704 116516132 142578951 174774198 190105268 220767408 233032264 262161297 285157902 349548396 380210536 427736853 466064528 524322594 570315804 699096792 760421072 855473706 903000023 1048645188 1140631608 1398193584 1710947412 1806000046 2097290376 2281263216 2709000069 3421894824 3612000092 4194580752 5418000138 6843789648 7224000184 8127000207 10836000276 14448000368 16254000414 21672000552 32508000828 43344001104 65016001656 130032003312