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13233003000 = 2335374631361
BaseRepresentation
bin11000101001011111…
…11001100111111000
31021011020020012111020
430110233321213320
5204100122044000
610025033102440
7645632445450
oct142457714770
937136205436
1013233003000
11568075a018
122693857a20
13132b742ab9
148d769cd60
15526b29ba0
hex314bf99f8

13233003000 has 256 divisors, whose sum is σ = 47321763840. Its totient is φ = 3015936000.

The previous prime is 13233002987. The next prime is 13233003001. The reversal of 13233003000 is 30033231.

It is a super-2 number, since 2×132330030002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233003001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9722320 + ... + 9723680.

It is an arithmetic number, because the mean of its divisors is an integer number (184850640).

Almost surely, 213233003000 is an apocalyptic number.

13233003000 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 13233003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23660881920).

13233003000 is an abundant number, since it is smaller than the sum of its proper divisors (34088760840).

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

13233003000 is a wasteful number, since it uses less digits than its factorization.

13233003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 13233003000 its reverse (30033231), we get a palindrome (13263036231).

The spelling of 13233003000 in words is "thirteen billion, two hundred thirty-three million, three thousand".