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130920126381 = 321110785314489
BaseRepresentation
bin111100111101101110…
…0101001011110101101
3110111221001022111201200
41321323130221132231
54121111023021011
6140051024400113
712313215466362
oct1717334513655
9414831274650
10130920126381
1150582aa8760
1221458a76039
13c4656c7005
14649d784469
153613a18856
hex1e7b7297ad

130920126381 has 48 divisors (see below), whose sum is σ = 208484902080. Its totient is φ = 78506415360.

The previous prime is 130920126371. The next prime is 130920126383. The reversal of 130920126381 is 183621029031.

130920126381 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 2 + 0 + 12 + 638 + 1 = 666.

It is not a de Polignac number, because 130920126381 - 217 = 130919995309 is a prime.

It is a super-2 number, since 2×1309201263812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130920126383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9028585 + ... + 9043073.

It is an arithmetic number, because the mean of its divisors is an integer number (4343435460).

Almost surely, 2130920126381 is an apocalyptic number.

130920126381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130920126381 is a deficient number, since it is larger than the sum of its proper divisors (77564775699).

130920126381 is a wasteful number, since it uses less digits than its factorization.

130920126381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15466 (or 15463 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 130920126381 in words is "one hundred thirty billion, nine hundred twenty million, one hundred twenty-six thousand, three hundred eighty-one".

Divisors: 1 3 9 11 33 99 107 321 853 963 1177 2559 3531 7677 9383 10593 14489 28149 43467 84447 91271 130401 159379 273813 478137 821439 1003981 1434411 1550323 3011943 4650969 9035829 12359117 13952907 17053553 37077351 51160659 111232053 135950287 153481977 407850861 1223552583 1322425519 3967276557 11901829671 14546680709 43640042127 130920126381