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10346464151231 = 132579918133613
BaseRepresentation
bin1001011010001111100101…
…0100100000011010111111
31100122010000212122201112112
42112203321110200122333
52324004024310314411
634001033334124235
72115336012134465
oct226437124403277
940563025581475
1010346464151231
113329a023108aa
1211b1269ab067b
135a088a318330
1427aab3150835
1512e206857b8b
hex968f95206bf

10346464151231 has 16 divisors (see below), whose sum is σ = 11148212177760. Its totient is φ = 9545555237760.

The previous prime is 10346464151197. The next prime is 10346464151239. The reversal of 10346464151231 is 13215146464301.

It is a cyclic number.

It is not a de Polignac number, because 10346464151231 - 230 = 10345390409407 is a prime.

It is a super-2 number, since 2×103464641512312 (a number of 27 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 (10346464151239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307794581 + ... + 307828193.

It is an arithmetic number, because the mean of its divisors is an integer number (696763261110).

Almost surely, 210346464151231 is an apocalyptic number.

10346464151231 is a deficient number, since it is larger than the sum of its proper divisors (801748026529).

10346464151231 is a wasteful number, since it uses less digits than its factorization.

10346464151231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45386.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 10346464151231 in words is "ten trillion, three hundred forty-six billion, four hundred sixty-four million, one hundred fifty-one thousand, two hundred thirty-one".

Divisors: 1 13 2579 9181 33527 33613 119353 436969 23677799 86687927 307811387 308600953 1126943051 4011812389 795881857787 10346464151231