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130652242256031 = 3192292144600983
BaseRepresentation
bin11101101101001111011000…
…011111010010000010011111
3122010121020021101212220220120
4131231033120133102002133
5114111101243004143111
61141512451141050023
736343212234334026
oct3555173037220237
9563536241786816
10130652242256031
11386a2339724a31
12127a13436b6913
1357b95b868a412
14243986088d8bd
151018870a73406
hex76d3d87d209f

130652242256031 has 8 divisors (see below), whose sum is σ = 183371568078720. Its totient is φ = 82517205635352.

The previous prime is 130652242255981. The next prime is 130652242256057.

130652242256031 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 130652242256031 - 29 = 130652242255519 is a prime.

It is a super-3 number, since 3×1306522422560313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130652242251031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146072300435 + ... + 1146072300548.

It is an arithmetic number, because the mean of its divisors is an integer number (22921446009840).

Almost surely, 2130652242256031 is an apocalyptic number.

130652242256031 is a deficient number, since it is larger than the sum of its proper divisors (52719325822689).

130652242256031 is a wasteful number, since it uses less digits than its factorization.

130652242256031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292144601005.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 130652242256031 in words is "one hundred thirty trillion, six hundred fifty-two billion, two hundred forty-two million, two hundred fifty-six thousand, thirty-one".

Divisors: 1 3 19 57 2292144600983 6876433802949 43550747418677 130652242256031