Search a number
-
+
23121123000000 = 2635619140351
BaseRepresentation
bin1010100000111010011100…
…10100101011111011000000
310000212100122211000200222220
411100131032110223323000
511012304024442000000
6121101410335531040
74604305660546614
oct520351624537300
9100770584020886
1023121123000000
117404682192403
122715041389a80
13cb940a87272c
1459d0d56a5344
152a1677e5b1a0
hex15074e52bec0

23121123000000 has 392 divisors, whose sum is σ = 76869576056832. Its totient is φ = 6133200000000.

The previous prime is 23121122999987. The next prime is 23121123000007. The reversal of 23121123000000 is 32112132.

It is a super-2 number, since 2×231211230000002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (23121123000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 572979825 + ... + 573020175.

Almost surely, 223121123000000 is an apocalyptic number.

23121123000000 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 23121123000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38434788028416).

23121123000000 is an abundant number, since it is smaller than the sum of its proper divisors (53748453056832).

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

23121123000000 is an frugal number, since it uses more digits than its factorization.

23121123000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40587 (or 40552 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23121123000000 its reverse (32112132), we get a palindrome (23121155112132).

The spelling of 23121123000000 in words is "twenty-three trillion, one hundred twenty-one billion, one hundred twenty-three million", and thus it is an aban number.