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125968011 = 31317189997
BaseRepresentation
bin1111000001000…
…01111010001011
322210000211121220
413200201322023
5224221434021
620255533123
73056465451
oct740417213
9283024556
10125968011
11651186a4
123622a1a3
13201364b0
1412a309d1
15b0d3cc6
hex7821e8b

125968011 has 16 divisors (see below), whose sum is σ = 191517984. Its totient is φ = 72958464.

The previous prime is 125967991. The next prime is 125968013. The reversal of 125968011 is 110869521.

It is not a de Polignac number, because 125968011 - 217 = 125836939 is a prime.

It is a super-2 number, since 2×1259680112 = 31735879590592242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125968013) 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 15 ways as a sum of consecutive naturals, for example, 94336 + ... + 95661.

It is an arithmetic number, because the mean of its divisors is an integer number (11969874).

Almost surely, 2125968011 is an apocalyptic number.

125968011 is a deficient number, since it is larger than the sum of its proper divisors (65549973).

125968011 is a wasteful number, since it uses less digits than its factorization.

125968011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190030.

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 125968011 is about 11223.5471665601. The cubic root of 125968011 is about 501.2873638771.

It can be divided in two parts, 125 and 968011, that added together give a triangular number (968136 = T1391).

The spelling of 125968011 in words is "one hundred twenty-five million, nine hundred sixty-eight thousand, eleven".

Divisors: 1 3 13 17 39 51 221 663 189997 569991 2469961 3229949 7409883 9689847 41989337 125968011