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13233001332 = 22323433110729
BaseRepresentation
bin11000101001011111…
…11001001101110100
31021011020020010012110
430110233321031310
5204100122020312
610025033051020
7645632440545
oct142457711564
937136203173
1013233001332
115680758841
122693856a70
13132b742105
148d769c4cc
15526b2943c
hex314bf9374

13233001332 has 48 divisors (see below), whose sum is σ = 32294183040. Its totient is φ = 4209435648.

The previous prime is 13233001321. The next prime is 13233001357. The reversal of 13233001332 is 23310033231.

It is a super-2 number, since 2×132330013322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13233001299 and 13233001308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64144 + ... + 174872.

It is an arithmetic number, because the mean of its divisors is an integer number (672795480).

Almost surely, 213233001332 is an apocalyptic number.

13233001332 is a gapful number since it is divisible by the number (12) 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 13233001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16147091520).

13233001332 is an abundant number, since it is smaller than the sum of its proper divisors (19061181708).

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

13233001332 is a wasteful number, since it uses less digits than its factorization.

13233001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111192 (or 111190 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13233001332 its reverse (23310033231), we get a palindrome (36543034563).

The spelling of 13233001332 in words is "thirteen billion, two hundred thirty-three million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 433 866 1299 1732 2598 5196 9959 19918 29877 39836 59754 110729 119508 221458 332187 442916 664374 1328748 2546767 5093534 7640301 10187068 15280602 30561204 47945657 95891314 143836971 191782628 287673942 575347884 1102750111 2205500222 3308250333 4411000444 6616500666 13233001332