Search a number
-
+
23121034400 = 255228901293
BaseRepresentation
bin10101100010000111…
…101111110010100000
32012200100022020120102
4111202013233302200
5334322441100100
614342140001532
71445650356362
oct254207576240
965610266512
1023121034400
1198952483a2
1245932302a8
132246188b59
1411949d6d32
15904c6bcd5
hex5621efca0

23121034400 has 36 divisors (see below), whose sum is σ = 56444227182. Its totient is φ = 9248413440.

The previous prime is 23121034351. The next prime is 23121034423. The reversal of 23121034400 is 443012132.

It can be written as a sum of positive squares in 3 ways, for example, as 18860078224 + 4260956176 = 137332^2 + 65276^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14449847 + ... + 14451446.

Almost surely, 223121034400 is an apocalyptic number.

23121034400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23121034400 is an abundant number, since it is smaller than the sum of its proper divisors (33323192782).

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

23121034400 is a wasteful number, since it uses less digits than its factorization.

23121034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28901313 (or 28901300 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23121034400 its reverse (443012132), we get a palindrome (23564046532).

The spelling of 23121034400 in words is "twenty-three billion, one hundred twenty-one million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 28901293 57802586 115605172 144506465 231210344 289012930 462420688 578025860 722532325 924841376 1156051720 1445064650 2312103440 2890129300 4624206880 5780258600 11560517200 23121034400