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345122300391 = 31129360629363
BaseRepresentation
bin1010000010110101110…
…01000110000111100111
31012222211011111101101220
411001122321012013213
521123302302103031
6422314052351423
733635311102461
oct5013271060747
91188734441356
10345122300391
111234025a5450
1256a78915573
1326711190a3b
14129bdb29131
158e9dc09596
hex505ae461e7

345122300391 has 16 divisors (see below), whose sum is σ = 519306284160. Its totient is φ = 201952442720.

The previous prime is 345122300377. The next prime is 345122300513. The reversal of 345122300391 is 193003221543.

It is a cyclic number.

It is not a de Polignac number, because 345122300391 - 25 = 345122300359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345122300791) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 180313725 + ... + 180315638.

It is an arithmetic number, because the mean of its divisors is an integer number (32456642760).

Almost surely, 2345122300391 is an apocalyptic number.

345122300391 is a deficient number, since it is larger than the sum of its proper divisors (174183983769).

345122300391 is a wasteful number, since it uses less digits than its factorization.

345122300391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360629406.

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 345122300391 in words is "three hundred forty-five billion, one hundred twenty-two million, three hundred thousand, three hundred ninety-one".

Divisors: 1 3 11 29 33 87 319 957 360629363 1081888089 3966922993 10458251527 11900768979 31374754581 115040766797 345122300391