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123317112 = 23361131643
BaseRepresentation
bin1110101100110…
…10101101111000
322121001011021110
413112122231320
5223032121422
620123040320
73025115052
oct726325570
9277034243
10123317112
1163677a76
12353700a0
131c718a09
14125408d2
15ac5d60c
hex759ab78

123317112 has 64 divisors (see below), whose sum is σ = 316229760. Its totient is φ = 40060800.

The previous prime is 123317111. The next prime is 123317119. The reversal of 123317112 is 211713321.

It is a happy number.

It is a super-2 number, since 2×1233171122 = 30414220224041088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123317111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191463 + ... + 192105.

It is an arithmetic number, because the mean of its divisors is an integer number (4941090).

Almost surely, 2123317112 is an apocalyptic number.

123317112 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 123317112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158114880).

123317112 is an abundant number, since it is smaller than the sum of its proper divisors (192912648).

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

123317112 is a wasteful number, since it uses less digits than its factorization.

123317112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 123317112 is about 11104.8238167024. The cubic root of 123317112 is about 497.7460036024.

The spelling of 123317112 in words is "one hundred twenty-three million, three hundred seventeen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 61 122 131 183 244 262 366 393 488 524 643 732 786 1048 1286 1464 1572 1929 2572 3144 3858 5144 7716 7991 15432 15982 23973 31964 39223 47946 63928 78446 84233 95892 117669 156892 168466 191784 235338 252699 313784 336932 470676 505398 673864 941352 1010796 2021592 5138213 10276426 15414639 20552852 30829278 41105704 61658556 123317112