Search a number
-
+
23001232001000 = 23531189127184997
BaseRepresentation
bin1010011101011011001000…
…10000110100011111101000
310000102220012101221220202112
411032231210100310133220
511003323010343013000
6120530341535421452
74562532654065441
oct516554420643750
9100386171856675
1023001232001000
117368849907360
1226b5962084888
13cab012130ac6
145973a0a142c8
1529d4ac837235
hex14eb644347e8

23001232001000 has 256 divisors, whose sum is σ = 59843449036800. Its totient is φ = 8204942592000.

The previous prime is 23001232000997. The next prime is 23001232001017. The reversal of 23001232001000 is 10023210032.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124240502 + ... + 124425498.

It is an arithmetic number, because the mean of its divisors is an integer number (233763472800).

Almost surely, 223001232001000 is an apocalyptic number.

23001232001000 is a gapful number since it is divisible by the number (20) 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 23001232001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29921724518400).

23001232001000 is an abundant number, since it is smaller than the sum of its proper divisors (36842217035800).

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

23001232001000 is a wasteful number, since it uses less digits than its factorization.

23001232001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185245 (or 185231 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23001232001000 its reverse (10023210032), we get a palindrome (23011255211032).

The spelling of 23001232001000 in words is "twenty-three trillion, one billion, two hundred thirty-two million, one thousand".