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131001341330445 = 35421200310356701
BaseRepresentation
bin11101110010010100100000…
…011010100100010000001101
3122011211121100201101100201020
4131302110200122210100031
5114132311221340033240
61142341104013504353
736410351234450055
oct3562244032442015
9564747321340636
10131001341330445
11388173a1a8a583
1212838b301a20b9
1358134b16c9c81
14244c6da804565
1510229a39660d0
hex7725206a440d

131001341330445 has 32 divisors (see below), whose sum is σ = 210204926423424. Its totient is φ = 69666621024000.

The previous prime is 131001341330411. The next prime is 131001341330479. The reversal of 131001341330445 is 544033143100131.

It is an interprime number because it is at equal distance from previous prime (131001341330411) and next prime (131001341330479).

It is not a de Polignac number, because 131001341330445 - 217 = 131001341199373 is a prime.

It is a super-2 number, since 2×1310013413304452 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7470595 + ... + 17827295.

It is an arithmetic number, because the mean of its divisors is an integer number (6568903950732).

Almost surely, 2131001341330445 is an apocalyptic number.

131001341330445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131001341330445 is a deficient number, since it is larger than the sum of its proper divisors (79203585092979).

131001341330445 is a wasteful number, since it uses less digits than its factorization.

131001341330445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359133.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 131001341330445 its reverse (544033143100131), we get a palindrome (675034484430576).

The spelling of 131001341330445 in words is "one hundred thirty-one trillion, one billion, three hundred forty-one million, three hundred thirty thousand, four hundred forty-five".

Divisors: 1 3 5 15 421 1263 2003 2105 6009 6315 10015 30045 843263 2529789 4216315 10356701 12648945 31070103 51783505 155350515 4360171121 13080513363 20744472103 21800855605 62233416309 65402566815 103722360515 311167081545 8733422755363 26200268266089 43667113776815 131001341330445