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130632236031 = 311113295311863
BaseRepresentation
bin111100110101001001…
…0011011101111111111
3110111011222121011102010
41321222102123233333
54120013323023111
6140002302102303
712303121454043
oct1715222335777
9414158534363
10130632236031
1150445545450
122139857a993
13c41ab790ab
146473444023
1535e85ecaa6
hex1e6a49bbff

130632236031 has 32 divisors (see below), whose sum is σ = 191773112832. Its totient is φ = 78437237760.

The previous prime is 130632235999. The next prime is 130632236083.

130632236031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130632236031 - 25 = 130632235999 is a prime.

It is a super-2 number, since 2×1306322360312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130632236031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130632236531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11005806 + ... + 11017668.

It is an arithmetic number, because the mean of its divisors is an integer number (5992909776).

Almost surely, 2130632236031 is an apocalyptic number.

130632236031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130632236031 is a deficient number, since it is larger than the sum of its proper divisors (61140876801).

130632236031 is a wasteful number, since it uses less digits than its factorization.

130632236031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14943.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 130632 and 236031, that added together give a palindrome (366663).

The spelling of 130632236031 in words is "one hundred thirty billion, six hundred thirty-two million, two hundred thirty-six thousand, thirty-one".

Divisors: 1 3 11 33 113 339 1243 2953 3729 8859 11863 32483 35589 97449 130493 333689 391479 1001067 1340519 3670579 4021557 11011737 14745709 35031439 44237127 105094317 385345829 1156037487 3958552607 11875657821 43544078677 130632236031