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130442567213 = 7174918292693
BaseRepresentation
bin111100101111011111…
…0111001111000101101
3110110200202200222201002
41321132332321320231
54114121244122323
6135531404530045
712265326345530
oct1713676717055
9413622628632
10130442567213
1150358479462
1221344b50925
13c3ba79b31a
146456190a17
1535d6b34828
hex1e5efb9e2d

130442567213 has 32 divisors (see below), whose sum is σ = 158417544960. Its totient is φ = 104851031040.

The previous prime is 130442567207. The next prime is 130442567221. The reversal of 130442567213 is 312765244031.

It is not a de Polignac number, because 130442567213 - 24 = 130442567197 is a prime.

It is a super-2 number, since 2×1304425672132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130442567243) 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, 48436295 + ... + 48438987.

It is an arithmetic number, because the mean of its divisors is an integer number (4950548280).

Almost surely, 2130442567213 is an apocalyptic number.

It is an amenable number.

130442567213 is a deficient number, since it is larger than the sum of its proper divisors (27974977747).

130442567213 is a wasteful number, since it uses less digits than its factorization.

130442567213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037.

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 130442567213 in words is "one hundred thirty billion, four hundred forty-two million, five hundred sixty-seven thousand, two hundred thirteen".

Divisors: 1 7 17 119 491 829 2693 3437 5803 8347 14093 18851 45781 58429 98651 320467 407039 1322263 2232497 2849273 6919663 9255841 15627479 22478471 37952449 48437641 157349297 265667143 1096156027 7673092189 18634652459 130442567213