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61106031 = 327412577
BaseRepresentation
bin1110100100011…
…0011101101111
311020222111201100
43221012131233
5111120343111
610021414143
71341251460
oct351063557
9136874640
1061106031
1131546958
121856a353
13c87651c
148188d67
155570756
hex3a4676f

61106031 has 36 divisors (see below), whose sum is σ = 103572976. Its totient is φ = 34007040.

The previous prime is 61106027. The next prime is 61106039. The reversal of 61106031 is 13060116.

61106031 is a `hidden beast` number, since 61 + 1 + 0 + 603 + 1 = 666.

It is not a de Polignac number, because 61106031 - 22 = 61106027 is a prime.

It is a super-2 number, since 2×611060312 = 7467894049145922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61105995 and 61106013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61106039) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105615 + ... + 106191.

Almost surely, 261106031 is an apocalyptic number.

61106031 is a deficient number, since it is larger than the sum of its proper divisors (42466945).

61106031 is a wasteful number, since it uses less digits than its factorization.

61106031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 61106031 is about 7817.0346679543. The cubic root of 61106031 is about 393.8776686534.

Adding to 61106031 its reverse (13060116), we get a palindrome (74166147).

The spelling of 61106031 in words is "sixty-one million, one hundred six thousand, thirty-one".

Divisors: 1 3 7 9 21 41 63 123 287 369 577 861 1681 1731 2583 4039 5043 5193 11767 12117 15129 23657 35301 36351 70971 105903 165599 212913 496797 969937 1490391 2909811 6789559 8729433 20368677 61106031