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10230133200 = 2435272352951
BaseRepresentation
bin10011000011100001…
…10111000111010000
3222101221210121112020
421201300313013100
5131422403230300
64411043131440
7511340461140
oct114160670720
928357717466
1010230133200
11437a709541
121b96073b80
13c70595271
146d094a920
153ed1ba8a0
hex261c371d0

10230133200 has 240 divisors, whose sum is σ = 39081117696. Its totient is φ = 2236608000.

The previous prime is 10230133187. The next prime is 10230133201. The reversal of 10230133200 is 233103201.

It is a tau number, because it is divible by the number of its divisors (240).

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 10230133200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230133201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166725 + ... + 219675.

Almost surely, 210230133200 is an apocalyptic number.

10230133200 is a gapful number since it is divisible by the number (10) 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 10230133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19540558848).

10230133200 is an abundant number, since it is smaller than the sum of its proper divisors (28850984496).

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

10230133200 is a wasteful number, since it uses less digits than its factorization.

10230133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53002 (or 52991 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10230133200 its reverse (233103201), we get a palindrome (10463236401).

The spelling of 10230133200 in words is "ten billion, two hundred thirty million, one hundred thirty-three thousand, two hundred".