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343441321141131 = 33105449120627497
BaseRepresentation
bin100111000010110111010100…
…1111100101010001110001011
31200001000200002011201201001000
41032011232221330222032023
5330003420311203004011
63214234433111430043
7132224550046564143
oct11605565174521613
91601020064651030
10343441321141131
119a481712318584
123262928b685323
13119834ba81a975
1460b4911bdd923
1529a8a6c169356
hex1385ba9f2a38b

343441321141131 has 16 divisors (see below), whose sum is σ = 508806786564000. Its totient is φ = 228958707567744.

The previous prime is 343441321141081. The next prime is 343441321141181. The reversal of 343441321141131 is 131141123144343.

343441321141131 is a `hidden beast` number, since 3 + 4 + 3 + 441 + 32 + 11 + 41 + 131 = 666.

It is an interprime number because it is at equal distance from previous prime (343441321141081) and next prime (343441321141181).

It is not a de Polignac number, because 343441321141131 - 210 = 343441321140107 is a prime.

It is a super-2 number, since 2×3434413211411312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (343441321141181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57466626 + ... + 63160871.

It is an arithmetic number, because the mean of its divisors is an integer number (31800424160250).

Almost surely, 2343441321141131 is an apocalyptic number.

343441321141131 is a deficient number, since it is larger than the sum of its proper divisors (165365465422869).

343441321141131 is a wasteful number, since it uses less digits than its factorization.

343441321141131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120732955 (or 120732949 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 343441321141131 its reverse (131141123144343), we get a palindrome (474582444285474).

The spelling of 343441321141131 in words is "three hundred forty-three trillion, four hundred forty-one billion, three hundred twenty-one million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 105449 316347 949041 2847123 120627497 361882491 1085647473 3256942419 12720048931153 38160146793459 114480440380377 343441321141131