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61311316 = 22111781967
BaseRepresentation
bin1110100111100…
…0100101010100
311021100221022111
43221320211110
5111143430231
610030040404
71343065123
oct351704524
9137327274
1061311316
1131677110
1218649104
13c918ab1
1481ddaba
1555b14b1
hex3a78954

61311316 has 24 divisors (see below), whose sum is σ = 123935616. Its totient is φ = 26229120.

The previous prime is 61311293. The next prime is 61311323.

It is a happy number.

61311316 is nontrivially palindromic in base 10.

61311316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40236 + ... + 41731.

It is an arithmetic number, because the mean of its divisors is an integer number (5163984).

Almost surely, 261311316 is an apocalyptic number.

It is an amenable number.

61311316 is an abundant number, since it is smaller than the sum of its proper divisors (62624300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61311316 is a wasteful number, since it uses less digits than its factorization.

61311316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81999 (or 81997 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 61311316 is about 7830.1542768965. The cubic root of 61311316 is about 394.3182514582.

It can be divided in two parts, 6131 and 1316, that added together give a palindrome (7447).

The spelling of 61311316 in words is "sixty-one million, three hundred eleven thousand, three hundred sixteen".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 81967 163934 327868 901637 1393439 1803274 2786878 3606548 5573756 15327829 30655658 61311316