Search a number
-
+
123004112 = 24721117839
BaseRepresentation
bin1110101010011…
…10010011010000
322120110020220212
413111032103100
5222442112422
620112223252
73022342400
oct725162320
9276406825
10123004112
11634838a0
123523ab28
131c6393ca
141249c800
15abea9e2
hex754e4d0

123004112 has 120 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 45050880.

The previous prime is 123004103. The next prime is 123004117. The reversal of 123004112 is 211400321.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123004117) 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 23 ways as a sum of consecutive naturals, for example, 146189 + ... + 147027.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2123004112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

123004112 is an abundant number, since it is smaller than the sum of its proper divisors (197600368).

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

123004112 is a wasteful number, since it uses less digits than its factorization.

123004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 123004112 is about 11090.7218881369. The cubic root of 123004112 is about 497.3245252046.

Adding to 123004112 its reverse (211400321), we get a palindrome (334404433).

The spelling of 123004112 in words is "one hundred twenty-three million, four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 49 56 68 77 88 98 112 119 136 154 176 187 196 238 272 308 374 392 476 539 616 748 784 833 839 952 1078 1232 1309 1496 1666 1678 1904 2156 2618 2992 3332 3356 4312 5236 5873 6664 6712 8624 9163 9229 10472 11746 13328 13424 14263 18326 18458 20944 23492 28526 36652 36916 41111 46984 57052 64603 73304 73832 82222 93968 99841 114104 129206 146608 147664 156893 164444 199682 228208 258412 313786 328888 399364 452221 516824 627572 657776 698887 798728 904442 1033648 1098251 1255144 1397774 1597456 1808884 2196502 2510288 2795548 3617768 4393004 5591096 7235536 7687757 8786008 11182192 15375514 17572016 30751028 61502056 123004112