Search a number
-
+
123252330 = 23547611433
BaseRepresentation
bin1110101100010…
…10111001101010
322120220212102010
413112022321222
5223023033310
620121420350
73024425145
oct726127152
9276825363
10123252330
1163633333
123533a6b6
131c6c5396
141252505c
15ac49320
hex758ae6a

123252330 has 64 divisors (see below), whose sum is σ = 307266048. Its totient is φ = 31618560.

The previous prime is 123252313. The next prime is 123252347. The reversal of 123252330 is 33252321.

It is an interprime number because it is at equal distance from previous prime (123252313) and next prime (123252347).

It is a super-2 number, since 2×1232523302 = 30382273700857800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123252297 and 123252306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85294 + ... + 86726.

It is an arithmetic number, because the mean of its divisors is an integer number (4801032).

Almost surely, 2123252330 is an apocalyptic number.

123252330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123252330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153633024).

123252330 is an abundant number, since it is smaller than the sum of its proper divisors (184013718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123252330 is a wasteful number, since it uses less digits than its factorization.

123252330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 123252330 is about 11101.9065930137. The cubic root of 123252330 is about 497.6588282728.

Subtracting from 123252330 its reverse (33252321), we obtain a palindrome (90000009).

The spelling of 123252330 in words is "one hundred twenty-three million, two hundred fifty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 61 94 122 141 183 235 282 305 366 470 610 705 915 1410 1433 1830 2866 2867 4299 5734 7165 8598 8601 14330 14335 17202 21495 28670 42990 43005 67351 86010 87413 134702 174826 202053 262239 336755 404106 437065 524478 673510 874130 1010265 1311195 2020530 2622390 4108411 8216822 12325233 20542055 24650466 41084110 61626165 123252330