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61133116 = 22113144819
BaseRepresentation
bin1110100100110…
…1000100111100
311021000212212111
43221031010330
5111122224431
610022143404
71341423442
oct351150474
9137025774
1061133116
1131565240
1218581b64
13c885955
148194b92
1555787b1
hex3a4d13c

61133116 has 24 divisors (see below), whose sum is σ = 120476160. Its totient is φ = 26890800.

The previous prime is 61133087. The next prime is 61133117.

It is a happy number.

61133116 is nontrivially palindromic in base 10.

61133116 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 not an unprimeable number, because it can be changed into a prime (61133117) by changing a digit.

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, 21046 + ... + 23773.

It is an arithmetic number, because the mean of its divisors is an integer number (5019840).

Almost surely, 261133116 is an apocalyptic number.

It is an amenable number.

61133116 is a deficient number, since it is larger than the sum of its proper divisors (59343044).

61133116 is a wasteful number, since it uses less digits than its factorization.

61133116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44865 (or 44863 counting only the distinct ones).

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

The square root of 61133116 is about 7818.7669104533. The cubic root of 61133116 is about 393.9358549495.

It can be divided in two parts, 6113 and 3116, that added together give a palindrome (9229).

The spelling of 61133116 in words is "sixty-one million, one hundred thirty-three thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 31 44 62 124 341 682 1364 44819 89638 179276 493009 986018 1389389 1972036 2778778 5557556 15283279 30566558 61133116