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130013233329 = 37471076311951
BaseRepresentation
bin111100100010101100…
…1001000000010110001
3110102120211211120100010
41321011121020002301
54112231341431304
6135421030445133
712251564151330
oct1710531100261
9412524746303
10130013233329
1150158098571
12212452037a9
13c34c858cc5
146415151d17
1535ae0c9789
hex1e456480b1

130013233329 has 64 divisors (see below), whose sum is σ = 204650053632. Its totient is φ = 71881992000.

The previous prime is 130013233261. The next prime is 130013233351. The reversal of 130013233329 is 923332310031.

It is not a de Polignac number, because 130013233329 - 217 = 130013102257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130013233296 and 130013233305.

It is not an unprimeable number, because it can be changed into a prime (130013232329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66638304 + ... + 66640254.

It is an arithmetic number, because the mean of its divisors is an integer number (3197657088).

Almost surely, 2130013233329 is an apocalyptic number.

It is an amenable number.

130013233329 is a deficient number, since it is larger than the sum of its proper divisors (74636820303).

130013233329 is a wasteful number, since it uses less digits than its factorization.

130013233329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746.

The product of its (nonzero) digits is 8748, while the sum is 30.

The spelling of 130013233329 in words is "one hundred thirty billion, thirteen million, two hundred thirty-three thousand, three hundred twenty-nine".

Divisors: 1 3 7 21 47 107 141 321 329 631 749 987 1893 1951 2247 4417 5029 5853 13251 13657 15087 29657 35203 40971 67517 88971 91697 105609 202551 207599 208757 275091 472619 622797 626271 641879 1231081 1417857 1461299 1925637 3173299 3693243 4383897 8617567 9519897 9811579 22213093 25852701 29434737 57860807 66639279 68681053 131725667 173582421 206043159 395177001 405025649 922079669 1215076947 2766239007 6191106349 18573319047 43337744443 130013233329