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125021746242 = 2332979835087
BaseRepresentation
bin111010001101111100…
…0000111010001000010
3102221200222110202022000
41310123320013101002
54022021031334432
6133233441524430
712014104211001
oct1643370072102
9387628422260
10125021746242
1149026575428
1220291643716
13ba356bb153
1460a0268c38
1533baca557c
hex1d1be07442

125021746242 has 32 divisors (see below), whose sum is σ = 287406316800. Its totient is φ = 40236883344.

The previous prime is 125021746207. The next prime is 125021746243. The reversal of 125021746242 is 242647120521.

125021746242 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 21 + 7 + 4 + 624 + 2 = 666.

It is a super-2 number, since 2×1250217462422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125021746197 and 125021746206.

It is not an unprimeable number, because it can be changed into a prime (125021746243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39915978 + ... + 39919109.

It is an arithmetic number, because the mean of its divisors is an integer number (8981447400).

Almost surely, 2125021746242 is an apocalyptic number.

125021746242 is an abundant number, since it is smaller than the sum of its proper divisors (162384570558).

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

125021746242 is a wasteful number, since it uses less digits than its factorization.

125021746242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79835127 (or 79835121 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 125021746242 its reverse (242647120521), we get a palindrome (367668866763).

The spelling of 125021746242 in words is "one hundred twenty-five billion, twenty-one million, seven hundred forty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 79835087 159670174 239505261 479010522 718515783 1437031566 2155547349 2315217523 4311094698 4630435046 6945652569 13891305138 20836957707 41673915414 62510873121 125021746242