Search a number
-
+
23121201120 = 2535714491511
BaseRepresentation
bin10101100010001000…
…011000011111100000
32012200100121201021020
4111202020120133200
5334323011413440
614342143325440
71445651652423
oct254210303740
965610551236
1023121201120
119895351686
1245932b0880
1322462169c4
141194a3b9ba
15904ca13d0
hex5622187e0

23121201120 has 192 divisors, whose sum is σ = 74071065600. Its totient is φ = 6061260800.

The previous prime is 23121200969. The next prime is 23121201121. The reversal of 23121201120 is 2110212132.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23121201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23121201121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15301165 + ... + 15302675.

It is an arithmetic number, because the mean of its divisors is an integer number (385786800).

Almost surely, 223121201120 is an apocalyptic number.

23121201120 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 23121201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37035532800).

23121201120 is an abundant number, since it is smaller than the sum of its proper divisors (50949864480).

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

23121201120 is a wasteful number, since it uses less digits than its factorization.

23121201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 23121201120 its reverse (2110212132), we get a palindrome (25231413252).

The spelling of 23121201120 in words is "twenty-three billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".