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123230052 = 223311472207
BaseRepresentation
bin1110101100001…
…01011101100100
322120212201212000
413112011131210
5223021330202
620121125300
73024303201
oct726053544
9276781760
10123230052
1163618620
1235329830
131c6b81ba
141251aca8
15ac4291c
hex7585764

123230052 has 96 divisors (see below), whose sum is σ = 356106240. Its totient is φ = 36531360.

The previous prime is 123230047. The next prime is 123230057. The reversal of 123230052 is 250032321.

It is an interprime number because it is at equal distance from previous prime (123230047) and next prime (123230057).

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

It is not an unprimeable number, because it can be changed into a prime (123230057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54733 + ... + 56939.

It is an arithmetic number, because the mean of its divisors is an integer number (3709440).

Almost surely, 2123230052 is an apocalyptic number.

123230052 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 123230052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178053120).

123230052 is an abundant number, since it is smaller than the sum of its proper divisors (232876188).

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

123230052 is a wasteful number, since it uses less digits than its factorization.

123230052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 123230052 is about 11100.9032064963. The cubic root of 123230052 is about 497.6288423314.

Adding to 123230052 its reverse (250032321), we get a palindrome (373262373).

The spelling of 123230052 in words is "one hundred twenty-three million, two hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 66 94 99 108 132 141 188 198 282 297 396 423 517 564 594 846 1034 1188 1269 1551 1692 2068 2207 2538 3102 4414 4653 5076 6204 6621 8828 9306 13242 13959 18612 19863 24277 26484 27918 39726 48554 55836 59589 72831 79452 97108 103729 119178 145662 207458 218493 238356 291324 311187 414916 436986 622374 655479 873972 933561 1141019 1244748 1310958 1867122 2282038 2621916 2800683 3423057 3734244 4564076 5601366 6846114 10269171 11202732 13692228 20538342 30807513 41076684 61615026 123230052