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420212334013 = 17385530701
BaseRepresentation
bin1100001110101101001…
…10110101110110111101
31111011122022122022202021
412013112212311312331
523341043324142023
6521013132400141
742234152622343
oct6072646656675
91434568568667
10420212334013
111522359a907a
1269534316051
1330819ccb2b4
14164a475b993
15ade610835d
hex61d69b5dbd

420212334013 has 8 divisors (see below), whose sum is σ = 446470264440. Its totient is φ = 395493956800.

The previous prime is 420212333993. The next prime is 420212334037. The reversal of 420212334013 is 310433212024.

It can be written as a sum of positive squares in 4 ways, for example, as 40556723769 + 379655610244 = 201387^2 + 616162^2 .

It is not a de Polignac number, because 420212334013 - 29 = 420212333501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420212334713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42760438 + ... + 42770263.

It is an arithmetic number, because the mean of its divisors is an integer number (55808783055).

Almost surely, 2420212334013 is an apocalyptic number.

It is an amenable number.

420212334013 is a deficient number, since it is larger than the sum of its proper divisors (26257930427).

420212334013 is an frugal number, since it uses more digits than its factorization.

420212334013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85530752 (or 85530718 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 420212334013 its reverse (310433212024), we get a palindrome (730645546037).

The spelling of 420212334013 in words is "four hundred twenty billion, two hundred twelve million, three hundred thirty-four thousand, thirteen".

Divisors: 1 17 289 4913 85530701 1454021917 24718372589 420212334013