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23003136000 = 219335313
BaseRepresentation
bin10101011011000110…
…000000000000000000
32012101010110101101000
4111123012000000000
5334102300323000
614322325012000
71443016300305
oct253306000000
965333411330
1023003136000
1198347415a9
12455b854000
1322279196a0
1411830a70ac
158e972e000
hex55b180000

23003136000 has 640 divisors, whose sum is σ = 91603512000. Its totient is φ = 5662310400.

The previous prime is 23003135983. The next prime is 23003136007. The reversal of 23003136000 is 63130032.

It is a happy number.

23003136000 is a `hidden beast` number, since 2 + 30 + 0 + 31 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003136007) 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, 1769471994 + ... + 1769472006.

Almost surely, 223003136000 is an apocalyptic number.

23003136000 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 23003136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45801756000).

23003136000 is an abundant number, since it is smaller than the sum of its proper divisors (68600376000).

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

23003136000 is an frugal number, since it uses more digits than its factorization.

23003136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23003136000 its reverse (63130032), we get a palindrome (23066266032).

The spelling of 23003136000 in words is "twenty-three billion, three million, one hundred thirty-six thousand".