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130332121300305 = 33519415312234949
BaseRepresentation
bin11101101000100101001111…
…110010101111110101010001
3122002110121222121211102212000
4131220211033302233311101
5114040330141023102210
61141105425554024213
736311120315163021
oct3550451762576521
9562417877742760
10130332121300305
11385895a67a4901
121274b2a3878069
1357953600b3c62
14242817337ba81
151010386c04ac0
hex76894fcafd51

130332121300305 has 64 divisors (see below), whose sum is σ = 243955115040000. Its totient is φ = 65836157308416.

The previous prime is 130332121300231. The next prime is 130332121300349. The reversal of 130332121300305 is 503003121233031.

130332121300305 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 32 + 1 + 21 + 300 + 305 = 666.

It is not a de Polignac number, because 130332121300305 - 28 = 130332121300049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4534971 + ... + 16769919.

It is an arithmetic number, because the mean of its divisors is an integer number (3811798672500).

Almost surely, 2130332121300305 is an apocalyptic number.

130332121300305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130332121300305 is a deficient number, since it is larger than the sum of its proper divisors (113622993739695).

130332121300305 is a wasteful number, since it uses less digits than its factorization.

130332121300305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12239135 (or 12239129 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 130332121300305 its reverse (503003121233031), we get a palindrome (633335242533336).

The spelling of 130332121300305 in words is "one hundred thirty trillion, three hundred thirty-two billion, one hundred twenty-one million, three hundred thousand, three hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2565 4153 12459 20765 37377 62295 78907 112131 186885 236721 394535 560655 710163 1183605 2130489 3550815 10652445 12234949 36704847 61174745 110114541 183524235 232464031 330343623 550572705 697392093 1162320155 1651718115 2092176279 3486960465 6276528837 10460881395 31382644185 50811743197 152435229591 254058715985 457305688773 762176147955 965423120743 1371917066319 2286528443865 2896269362229 4827115603715 6859585331595 8688808086687 14481346811145 26066424260061 43444040433435 130332121300305