Search a number
-
+
123303200112 = 24327571131139
BaseRepresentation
bin111001011010101110…
…0011000010101110000
3102210021012201120012100
41302311130120111300
54010011104400422
6132351131300400
711623365623301
oct1626534302560
9383235646170
10123303200112
1148324495274
121ba91baa700
13b82064a151
145d79d167a8
153319e8b7ac
hex1cb5718570

123303200112 has 60 divisors (see below), whose sum is σ = 345533860360. Its totient is φ = 41046735744.

The previous prime is 123303200107. The next prime is 123303200113. The reversal of 123303200112 is 211002303321.

123303200112 is a `hidden beast` number, since 1 + 2 + 330 + 320 + 0 + 1 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123303200113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456562 + ... + 674577.

Almost surely, 2123303200112 is an apocalyptic number.

123303200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123303200112 is an abundant number, since it is smaller than the sum of its proper divisors (222230660248).

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

123303200112 is a wasteful number, since it uses less digits than its factorization.

123303200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131910 (or 1131901 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123303200112 its reverse (211002303321), we get a palindrome (334305503433).

The spelling of 123303200112 in words is "one hundred twenty-three billion, three hundred three million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 757 1514 2271 3028 4542 6056 6813 9084 12112 13626 18168 27252 36336 54504 109008 1131139 2262278 3393417 4524556 6786834 9049112 10180251 13573668 18098224 20360502 27147336 40721004 54294672 81442008 162884016 856272223 1712544446 2568816669 3425088892 5137633338 6850177784 7706450007 10275266676 13700355568 15412900014 20550533352 30825800028 41101066704 61651600056 123303200112