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123314532 = 2231117179307
BaseRepresentation
bin1110101100110…
…10000101100100
322121001000201220
413112122011210
5223032031112
620123020340
73025104405
oct726320544
9277030656
10123314532
1163676040
123536a6b0
131c7177a3
141253d9ac
15ac5c98c
hex759a164

123314532 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 34859520.

The previous prime is 123314483. The next prime is 123314537. The reversal of 123314532 is 235413321.

It is not an unprimeable number, because it can be changed into a prime (123314537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401523 + ... + 401829.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2123314532 is an apocalyptic number.

123314532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123314532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

123314532 is an abundant number, since it is smaller than the sum of its proper divisors (211986588).

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

123314532 is a wasteful number, since it uses less digits than its factorization.

123314532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 123314532 is about 11104.7076503616. The cubic root of 123314532 is about 497.7425323522.

Adding to 123314532 its reverse (235413321), we get a palindrome (358727853).

The spelling of 123314532 in words is "one hundred twenty-three million, three hundred fourteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 179 187 204 307 358 374 537 561 614 716 748 921 1074 1122 1228 1842 1969 2148 2244 3043 3377 3684 3938 5219 5907 6086 6754 7876 9129 10131 10438 11814 12172 13508 15657 18258 20262 20876 23628 31314 33473 36516 40524 54953 57409 62628 66946 100419 109906 114818 133892 164859 172227 200838 219812 229636 329718 344454 401676 604483 659436 688908 934201 1208966 1813449 1868402 2417932 2802603 3626898 3736804 5605206 7253796 10276211 11210412 20552422 30828633 41104844 61657266 123314532