Search a number
-
+
23020561125 = 335312795333
BaseRepresentation
bin10101011100001000…
…011110001011100101
32012102100020200011000
4111130020132023211
5334121230424000
614324150303513
71443320353362
oct253410361345
965370220130
1023020561125
119843563331
124565657b99
13222b40ab03
141185521469
158eb022000
hex55c21e2e5

23020561125 has 64 divisors (see below), whose sum is σ = 42603724800. Its totient is φ = 12265732800.

The previous prime is 23020561073. The next prime is 23020561153. The reversal of 23020561125 is 52116502032.

It is a happy number.

23020561125 is a `hidden beast` number, since 2 + 3 + 0 + 20 + 5 + 611 + 25 = 666.

It is not a de Polignac number, because 23020561125 - 233 = 14430626533 is a prime.

It is a super-2 number, since 2×230205611252 (a number of 22 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4313959 + ... + 4319291.

It is an arithmetic number, because the mean of its divisors is an integer number (665683200).

Almost surely, 223020561125 is an apocalyptic number.

23020561125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23020561125 is a deficient number, since it is larger than the sum of its proper divisors (19583163675).

23020561125 is a wasteful number, since it uses less digits than its factorization.

23020561125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 23020561125 in words is "twenty-three billion, twenty million, five hundred sixty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 375 675 1125 1279 3375 3837 5333 6395 11511 15999 19185 26665 31975 34533 47997 57555 79995 95925 133325 143991 159875 172665 239985 287775 399975 479625 666625 719955 863325 1199925 1438875 1999875 3599775 4316625 5999625 6820907 17998875 20462721 34104535 61388163 102313605 170522675 184164489 306940815 511568025 852613375 920822445 1534704075 2557840125 4604112225 7673520375 23020561125