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3012102122130 = 2325373457196337
BaseRepresentation
bin101011110101001111010…
…001101110101010010010
3101122221202120112210000200
4223311033101232222102
5343322241120402010
610223423550000030
7430421461412013
oct53651721565222
911587676483020
103012102122130
11a61475139202
12407922aa6016
1318b069b9c10a
14a5b022d900a
1553541e37cc0
hex2bd4f46ea92

3012102122130 has 96 divisors (see below), whose sum is σ = 7869684114864. Its totient is φ = 799316840448.

The previous prime is 3012102122089. The next prime is 3012102122173. The reversal of 3012102122130 is 312212012103.

3012102122130 is a `hidden beast` number, since 30 + 1 + 210 + 212 + 213 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2518864190649 + 493237931481 = 1587093^2 + 702309^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15243322 + ... + 15439658.

Almost surely, 23012102122130 is an apocalyptic number.

3012102122130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3012102122130 is an abundant number, since it is smaller than the sum of its proper divisors (4857581992734).

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

3012102122130 is a wasteful number, since it uses less digits than its factorization.

3012102122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197180 (or 197177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3012102122130 its reverse (312212012103), we get a palindrome (3324314134233).

The spelling of 3012102122130 in words is "three trillion, twelve billion, one hundred two million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 373 457 746 914 1119 1371 1865 2238 2285 2742 3357 3730 4113 4570 5595 6714 6855 8226 11190 13710 16785 20565 33570 41130 170461 196337 340922 392674 511383 589011 852305 981685 1022766 1178022 1534149 1704610 1767033 1963370 2556915 2945055 3068298 3534066 5113830 5890110 7670745 8835165 15341490 17670330 73233701 89726009 146467402 179452018 219701103 269178027 366168505 439402206 448630045 538356054 659103309 732337010 807534081 897260090 1098505515 1318206618 1345890135 1615068162 2197011030 2691780270 3295516545 4037670405 6591033090 8075340810 33467801357 66935602714 100403404071 167339006785 200806808142 301210212213 334678013570 502017020355 602420424426 1004034040710 1506051061065 3012102122130