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12333003032 = 2374143124919
BaseRepresentation
bin10110111110001101…
…01011000100011000
31011211111201110122002
423133012223010120
5200224222044112
65355443020132
7614423540030
oct133706530430
934744643562
1012333003032
115259727799
12248236a648
13121714943c
1484dd428c0
154c2aed1c2
hex2df1ab118

12333003032 has 64 divisors (see below), whose sum is σ = 27702259200. Its totient is φ = 5036693760.

The previous prime is 12333003019. The next prime is 12333003047. The reversal of 12333003032 is 23030033321.

12333003032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12333002995 and 12333003013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36269 + ... + 161187.

It is an arithmetic number, because the mean of its divisors is an integer number (432847800).

Almost surely, 212333003032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12333003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851129600).

12333003032 is an abundant number, since it is smaller than the sum of its proper divisors (15369256168).

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

12333003032 is a wasteful number, since it uses less digits than its factorization.

12333003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125016 (or 125012 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 12333003032 its reverse (23030033321), we get a palindrome (35363036353).

The spelling of 12333003032 in words is "twelve billion, three hundred thirty-three million, three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 41 43 56 82 86 164 172 287 301 328 344 574 602 1148 1204 1763 2296 2408 3526 7052 12341 14104 24682 49364 98728 124919 249838 499676 874433 999352 1748866 3497732 5121679 5371517 6995464 10243358 10743034 20486716 21486068 35851753 37600619 40973432 42972136 71703506 75201238 143407012 150402476 220232197 286814024 300804952 440464394 880928788 1541625379 1761857576 3083250758 6166501516 12333003032