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130212957132 = 22343119965147
BaseRepresentation
bin111100101000101001…
…1000000101111001100
3110110002202122120220000
41321101103000233030
54113134004112012
6135452523324300
712256540605426
oct1712123005714
9413082576800
10130212957132
115024a901a65
12212a0080690
13c38204767b
1464338a1816
1535c18cbddc
hex1e514c0bcc

130212957132 has 120 divisors (see below), whose sum is σ = 353154278400. Its totient is φ = 41792461920.

The previous prime is 130212957097. The next prime is 130212957157. The reversal of 130212957132 is 231759212031.

It is a happy number.

130212957132 is a `hidden beast` number, since 1 + 30 + 2 + 1 + 29 + 571 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1966183 + ... + 2031329.

It is an arithmetic number, because the mean of its divisors is an integer number (2942952320).

Almost surely, 2130212957132 is an apocalyptic number.

130212957132 is a gapful number since it is divisible by the number (12) 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 130212957132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176577139200).

130212957132 is an abundant number, since it is smaller than the sum of its proper divisors (222941321268).

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

130212957132 is a wasteful number, since it uses less digits than its factorization.

130212957132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65393 (or 65382 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 130212957132 in words is "one hundred thirty billion, two hundred twelve million, nine hundred fifty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 199 279 324 372 398 558 597 796 837 1116 1194 1674 1791 2388 2511 3348 3582 5022 5373 6169 7164 10044 10746 12338 16119 18507 21492 24676 32238 37014 55521 64476 65147 74028 111042 130294 166563 195441 222084 260588 333126 390882 499689 586323 666252 781764 999378 1172646 1758969 1998756 2019557 2345292 3517938 4039114 5276907 6058671 7035876 8078228 10553814 12117342 12964253 18176013 21107628 24234684 25928506 36352026 38892759 51857012 54528039 72704052 77785518 109056078 116678277 155571036 163584117 218112156 233356554 327168234 350034831 401891843 466713108 654336468 700069662 803783686 1050104493 1205675529 1400139324 1607567372 2100208986 2411351058 3617026587 4200417972 4822702116 7234053174 10851079761 14468106348 21702159522 32553239283 43404319044 65106478566 130212957132