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123133230 = 23351123769
BaseRepresentation
bin1110101011011…
…01110100101110
322120200211001000
413111231310232
5223010230410
620115101130
73023421003
oct725556456
9276624030
10123133230
1163561900
12352a17a6
131c6830cc
14124d38aa
15ac23dc0
hex756dd2e

123133230 has 96 divisors (see below), whose sum is σ = 361015200. Its totient is φ = 29842560.

The previous prime is 123133211. The next prime is 123133249. The reversal of 123133230 is 32331321.

It is an interprime number because it is at equal distance from previous prime (123133211) and next prime (123133249).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 30786 + ... + 34554.

It is an arithmetic number, because the mean of its divisors is an integer number (3760575).

Almost surely, 2123133230 is an apocalyptic number.

123133230 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 123133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180507600).

123133230 is an abundant number, since it is smaller than the sum of its proper divisors (237881970).

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

123133230 is a wasteful number, since it uses less digits than its factorization.

123133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 123133230 is about 11096.5413530523. The cubic root of 123133230 is about 497.4984789900.

Adding to 123133230 its reverse (32331321), we get a palindrome (155464551).

The spelling of 123133230 in words is "one hundred twenty-three million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 135 165 198 242 270 297 330 363 495 594 605 726 990 1089 1210 1485 1815 2178 2970 3267 3630 3769 5445 6534 7538 10890 11307 16335 18845 22614 32670 33921 37690 41459 56535 67842 82918 101763 113070 124377 169605 203526 207295 248754 339210 373131 414590 456049 508815 621885 746262 912098 1017630 1119393 1243770 1368147 1865655 2238786 2280245 2736294 3731310 4104441 4560490 5596965 6840735 8208882 11193930 12313323 13681470 20522205 24626646 41044410 61566615 123133230