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230133111000 = 233531319310571
BaseRepresentation
bin1101011001010100000…
…0001001100011011000
3211000000101001022211120
43112111000021203120
512232303034023000
6253415515125240
722424625111402
oct3262500114330
9730011038746
10230133111000
1189665161521
1238727143820
131891714ba80
14b1d2099b72
155ebdae36a0
hex35950098d8

230133111000 has 256 divisors, whose sum is σ = 813947097600. Its totient is φ = 53666496000.

The previous prime is 230133110989. The next prime is 230133111023. The reversal of 230133111000 is 111331032.

It is a super-3 number, since 3×2301331110003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585715 + ... + 896285.

It is an arithmetic number, because the mean of its divisors is an integer number (3179480850).

Almost surely, 2230133111000 is an apocalyptic number.

230133111000 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 230133111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406973548800).

230133111000 is an abundant number, since it is smaller than the sum of its proper divisors (583813986600).

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

230133111000 is a wasteful number, since it uses less digits than its factorization.

230133111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310627 (or 310613 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 230133111000 its reverse (111331032), we get a palindrome (230244442032).

The spelling of 230133111000 in words is "two hundred thirty billion, one hundred thirty-three million, one hundred eleven thousand".