Search a number
-
+
23116600125 = 345315112
BaseRepresentation
bin10101100001110110…
…110101001100111101
32012200000221221220000
4111201312311030331
5334320322201000
614341500544513
71445564600433
oct254166651475
965600857800
1023116600125
119892799903
124591852139
132245295718
1411941a0d53
15904693000
hex561db533d

23116600125 has 60 divisors (see below), whose sum is σ = 43124732508. Its totient is φ = 12320694000.

The previous prime is 23116600109. The next prime is 23116600141. The reversal of 23116600125 is 52100661132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

23116600125 is a `hidden beast` number, since 2 + 31 + 1 + 6 + 600 + 1 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (23116600109) and next prime (23116600141).

It can be written as a sum of positive squares in 2 ways, for example, as 739731204 + 22376868921 = 27198^2 + 149589^2 .

It is not a de Polignac number, because 23116600125 - 24 = 23116600109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15298120 + ... + 15299630.

Almost surely, 223116600125 is an apocalyptic number.

23116600125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23116600125 is a deficient number, since it is larger than the sum of its proper divisors (20008132383).

23116600125 is an frugal number, since it uses more digits than its factorization.

23116600125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 23116600125 in words is "twenty-three billion, one hundred sixteen million, six hundred thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 1511 2025 3375 4533 7555 10125 13599 22665 37775 40797 67995 113325 122391 188875 203985 339975 566625 611955 1019925 1699875 2283121 3059775 5099625 6849363 11415605 15298875 20548089 34246815 57078025 61644267 102740445 171234075 184932801 285390125 308221335 513702225 856170375 924664005 1541106675 2568511125 4623320025 7705533375 23116600125