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311434010405 = 5728331442101
BaseRepresentation
bin1001000100000101110…
…10011101111100100101
31002202212101000221022222
410202002322131330211
520100304101313110
6355023143402125
731333424260550
oct4420272357445
91082771027288
10311434010405
1111009541a581
1250436753345
13234a294503b
141110590b697
15817b3cdc55
hex4882e9df25

311434010405 has 16 divisors (see below), whose sum is σ = 428618734464. Its totient is φ = 212800132800.

The previous prime is 311434010399. The next prime is 311434010477. The reversal of 311434010405 is 504010434113.

It is a happy number.

It is not a de Polignac number, because 311434010405 - 24 = 311434010389 is a prime.

It is a super-2 number, since 2×3114340104052 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 15711146 + ... + 15730955.

It is an arithmetic number, because the mean of its divisors is an integer number (26788670904).

Almost surely, 2311434010405 is an apocalyptic number.

311434010405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

311434010405 is a deficient number, since it is larger than the sum of its proper divisors (117184724059).

311434010405 is a wasteful number, since it uses less digits than its factorization.

311434010405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31442396.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 311434010405 its reverse (504010434113), we get a palindrome (815444444518).

The spelling of 311434010405 in words is "three hundred eleven billion, four hundred thirty-four million, ten thousand, four hundred five".

Divisors: 1 5 7 35 283 1415 1981 9905 31442101 157210505 220094707 1100473535 8898114583 44490572915 62286802081 311434010405