Search a number
-
+
23231010121200 = 243252710131728793
BaseRepresentation
bin1010100100000111001000…
…00110110010010111110000
310001020212022001000211202200
411102003210012302113300
511021104102042334300
6121224102334143200
74615246041635430
oct522034406622760
9101225261024680
1023231010121200
117447241644a52
1227323aa351b00
13cc68a0869b3b
145a455b8a42c0
152a445a1a8200
hex1520e41b25f0

23231010121200 has 720 divisors, whose sum is σ = 93343916517696. Its totient is φ = 5240604672000.

The previous prime is 23231010121157. The next prime is 23231010121213. The reversal of 23231010121200 is 212101013232.

23231010121200 is a `hidden beast` number, since 2 + 32 + 310 + 1 + 0 + 121 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 806814004 + ... + 806842796.

Almost surely, 223231010121200 is an apocalyptic number.

23231010121200 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 23231010121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46671958258848).

23231010121200 is an abundant number, since it is smaller than the sum of its proper divisors (70112906396496).

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

23231010121200 is a wasteful number, since it uses less digits than its factorization.

23231010121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29242 (or 29228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23231010121200 its reverse (212101013232), we get a palindrome (23443111134432).

The spelling of 23231010121200 in words is "twenty-three trillion, two hundred thirty-one billion, ten million, one hundred twenty-one thousand, two hundred".