Search a number
-
+
125226981 = 321117372011
BaseRepresentation
bin1110111011011…
…00111111100101
322201122012010100
413131230333211
5224024230411
620232014313
73050261145
oct735547745
9281565110
10125226981
1164761980
1235b31399
131cc37109
14128ba925
15aed9456
hex776cfe5

125226981 has 48 divisors (see below), whose sum is σ = 214688448. Its totient is φ = 69465600.

The previous prime is 125226979. The next prime is 125226989. The reversal of 125226981 is 189622521.

It is not a de Polignac number, because 125226981 - 21 = 125226979 is a prime.

It is a super-2 number, since 2×1252269812 = 31363593540748722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125226989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61266 + ... + 63276.

It is an arithmetic number, because the mean of its divisors is an integer number (4472676).

Almost surely, 2125226981 is an apocalyptic number.

125226981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125226981 is a deficient number, since it is larger than the sum of its proper divisors (89461467).

125226981 is a wasteful number, since it uses less digits than its factorization.

125226981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2079 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 125226981 is about 11190.4861824677. The cubic root of 125226981 is about 500.3024583344.

It can be divided in two parts, 12522 and 6981, that added together give a triangular number (19503 = T197).

The spelling of 125226981 in words is "one hundred twenty-five million, two hundred twenty-six thousand, nine hundred eighty-one".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 561 629 1221 1683 1887 2011 3663 5661 6033 6919 18099 20757 22121 34187 62271 66363 74407 102561 199089 223221 307683 376057 669663 818477 1128171 1264919 2455431 3384513 3794757 7366293 11384271 13914109 41742327 125226981