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61124000042116 = 22111389181819139
BaseRepresentation
bin11011110010111100010100…
…10011110100110010000100
322000102101201122202202011201
431321132022103310302010
531002423423002321431
6333555551124112244
715606030462600304
oct1571361223646204
9260371648682151
1061124000042116
11185265a7584a50
126a322a7b35684
132814c78968ccb
1411145bb44b604
1570ee97552461
hex37978a4f4c84

61124000042116 has 12 divisors (see below), whose sum is σ = 116691272807760. Its totient is φ = 27783636382760.

The previous prime is 61124000042099. The next prime is 61124000042117.

61124000042116 is nontrivially palindromic in base 10.

61124000042116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×611240000421162 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61124000042117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 694590909526 + ... + 694590909613.

It is an arithmetic number, because the mean of its divisors is an integer number (9724272733980).

Almost surely, 261124000042116 is an apocalyptic number.

It is an amenable number.

61124000042116 is a deficient number, since it is larger than the sum of its proper divisors (55567272765644).

61124000042116 is a wasteful number, since it uses less digits than its factorization.

61124000042116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389181819154 (or 1389181819152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 611240000 and 42116, that added together give a palindrome (611282116).

The spelling of 61124000042116 in words is "sixty-one trillion, one hundred twenty-four billion, forty-two thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 44 1389181819139 2778363638278 5556727276556 15281000010529 30562000021058 61124000042116