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23201131200 = 2635213237773
BaseRepresentation
bin10101100110111001…
…010010101011000000
32012212221000120201120
4111212321102223000
5340003442144300
614354120432240
71450642234632
oct254671225300
965787016646
1023201131200
1199264852a5
1245b6018680
132259951300
1411a14c6a52
1590bcde3a0
hex566e52ac0

23201131200 has 504 divisors, whose sum is σ = 84761972208. Its totient is φ = 5549506560.

The previous prime is 23201131169. The next prime is 23201131223. The reversal of 23201131200 is 213110232.

It is a super-2 number, since 2×232011312002 (a number of 22 digits) contains 22 as substring.

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 23201131200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30014014 + ... + 30014786.

Almost surely, 223201131200 is an apocalyptic number.

23201131200 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 23201131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42380986104).

23201131200 is an abundant number, since it is smaller than the sum of its proper divisors (61560841008).

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

23201131200 is a wasteful number, since it uses less digits than its factorization.

23201131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 833 counting only the distinct ones).

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

Adding to 23201131200 its reverse (213110232), we get a palindrome (23414241432).

The spelling of 23201131200 in words is "twenty-three billion, two hundred one million, one hundred thirty-one thousand, two hundred".