Search a number
-
+
123320823360 = 263571741113233
BaseRepresentation
bin111001011011001111…
…1100110111001000000
3102210022102212220202020
41302312133212321000
54010030112321420
6132353001121440
711624001463110
oct1626637467100
9383272786666
10123320823360
1148333431939
121ba97a89280
13b8241aa7c7
145d7c3c3040
15331b7bd340
hex1cb67e6e40

123320823360 has 896 divisors, whose sum is σ = 491753493504. Its totient is φ = 25543311360.

The previous prime is 123320823287. The next prime is 123320823397. The reversal of 123320823360 is 63328023321.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 529273804 + ... + 529274036.

It is an arithmetic number, because the mean of its divisors is an integer number (548832024).

Almost surely, 2123320823360 is an apocalyptic number.

123320823360 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 123320823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245876746752).

123320823360 is an abundant number, since it is smaller than the sum of its proper divisors (368432670144).

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

123320823360 is a wasteful number, since it uses less digits than its factorization.

123320823360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 123320823360 its reverse (63328023321), we get a palindrome (186648846681).

The spelling of 123320823360 in words is "one hundred twenty-three billion, three hundred twenty million, eight hundred twenty-three thousand, three hundred sixty".