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13233001032 = 2332183791681
BaseRepresentation
bin11000101001011111…
…11001001001001000
31021011020020002210100
430110233321021020
5204100122013112
610025033045400
7645632436636
oct142457711110
937136202710
1013233001032
115680758599
122693856860
13132b741c34
148d769c356
15526b292dc
hex314bf9248

13233001032 has 24 divisors (see below), whose sum is σ = 35839377990. Its totient is φ = 4411000320.

The previous prime is 13233001021. The next prime is 13233001037. The reversal of 13233001032 is 23010033231.

13233001032 is a `hidden beast` number, since 1 + 323 + 300 + 10 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10686183876 + 2546817156 = 103374^2 + 50466^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×132330010322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13233000996 and 13233001014.

It is not an unprimeable number, because it can be changed into a prime (13233001037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91895769 + ... + 91895912.

Almost surely, 213233001032 is an apocalyptic number.

13233001032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13233001032 is an abundant number, since it is smaller than the sum of its proper divisors (22606376958).

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

13233001032 is a wasteful number, since it uses less digits than its factorization.

13233001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183791693 (or 183791686 counting only the distinct ones).

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

Adding to 13233001032 its reverse (23010033231), we get a palindrome (36243034263).

The spelling of 13233001032 in words is "thirteen billion, two hundred thirty-three million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 183791681 367583362 551375043 735166724 1102750086 1470333448 1654125129 2205500172 3308250258 4411000344 6616500516 13233001032