Search a number
-
+
122923125 = 325413412
BaseRepresentation
bin1110101001110…
…10100001110101
322120022010211100
413110322201311
5222432020000
620110400313
73021554313
oct724724165
9276263740
10122923125
1163428a66
1235200099
131c60b5a0
141247b0b3
15abd1a00
hex753a875

122923125 has 90 divisors (see below), whose sum is σ = 244910666. Its totient is φ = 59040000.

The previous prime is 122923123. The next prime is 122923127. The reversal of 122923125 is 521329221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122923123) and next prime (122923127).

It can be written as a sum of positive squares in 15 ways, for example, as 77845329 + 45077796 = 8823^2 + 6714^2 .

It is not a de Polignac number, because 122923125 - 21 = 122923123 is a prime.

It is a super-2 number, since 2×1229231252 = 30220189319531250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122923123) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2998105 + ... + 2998145.

Almost surely, 2122923125 is an apocalyptic number.

122923125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122923125 is a deficient number, since it is larger than the sum of its proper divisors (121987541).

122923125 is an equidigital number, since it uses as much as digits as its factorization.

122923125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 62 counting only the distinct ones).

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

The square root of 122923125 is about 11087.0701720518. The cubic root of 122923125 is about 497.2153536128.

The spelling of 122923125 in words is "one hundred twenty-two million, nine hundred twenty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 41 45 65 75 117 123 125 195 205 225 325 369 375 533 585 615 625 975 1025 1125 1599 1625 1681 1845 1875 2665 2925 3075 4797 4875 5043 5125 5625 7995 8125 8405 9225 13325 14625 15129 15375 21853 23985 24375 25215 25625 39975 42025 46125 65559 66625 73125 75645 76875 109265 119925 126075 196677 199875 210125 230625 327795 333125 378225 546325 599625 630375 983385 999375 1050625 1638975 1891125 2731625 2998125 3151875 4916925 8194875 9455625 13658125 24584625 40974375 122923125