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123311412 = 223271273853
BaseRepresentation
bin1110101100110…
…01010100110100
322121000212110100
413112121110310
5223031431122
620122554100
73025062330
oct726312464
9277025410
10123311412
1163673764
1235368930
131c716243
141253c7c0
15ac5baac
hex7599534

123311412 has 72 divisors (see below), whose sum is σ = 359131136. Its totient is φ = 34945344.

The previous prime is 123311399. The next prime is 123311413. The reversal of 123311412 is 214113321.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123311413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30078 + ... + 33930.

Almost surely, 2123311412 is an apocalyptic number.

123311412 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 123311412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179565568).

123311412 is an abundant number, since it is smaller than the sum of its proper divisors (235819724).

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

123311412 is a wasteful number, since it uses less digits than its factorization.

123311412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3992 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 123311412 is about 11104.5671685122. The cubic root of 123311412 is about 497.7383344966.

Adding to 123311412 its reverse (214113321), we get a palindrome (337424733).

The spelling of 123311412 in words is "one hundred twenty-three million, three hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3556 3853 4572 5334 7706 8001 10668 11559 15412 16002 23118 26971 32004 34677 46236 53942 69354 80913 107884 138708 161826 242739 323652 485478 489331 970956 978662 1467993 1957324 2935986 3425317 4403979 5871972 6850634 8807958 10275951 13701268 17615916 20551902 30827853 41103804 61655706 123311412