Search a number
-
+
123233233320 = 233251492937841
BaseRepresentation
bin111001011000101000…
…1011110100110101000
3102210002100001212210200
41302301101132212220
54004340201431240
6132340151512200
711621556125421
oct1626121364650
9383070055720
10123233233320
1148298a4717a
121ba72688660
13b80bcc0792
145d70902648
153313c6a930
hex1cb145e9a8

123233233320 has 192 divisors, whose sum is σ = 404623674000. Its totient is φ = 32526090240.

The previous prime is 123233233313. The next prime is 123233233337. The reversal of 123233233320 is 23332332321.

123233233320 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 323 + 332 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50660106084 + 72573127236 = 225078^2 + 269394^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15712600 + ... + 15720440.

Almost surely, 2123233233320 is an apocalyptic number.

123233233320 is a gapful number since it is divisible by the number (10) 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 123233233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202311837000).

123233233320 is an abundant number, since it is smaller than the sum of its proper divisors (281390440680).

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

123233233320 is a wasteful number, since it uses less digits than its factorization.

123233233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 123233233320 its reverse (23332332321), we get a palindrome (146565565641).

Subtracting from 123233233320 its reverse (23332332321), we obtain a palindrome (99900900999).

The spelling of 123233233320 in words is "one hundred twenty-three billion, two hundred thirty-three million, two hundred thirty-three thousand, three hundred twenty".