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12333131232 = 253157818281
BaseRepresentation
bin10110111110001110…
…01010010111100000
31011211111221222111020
423133013022113200
5200224240144412
65355445445440
7614424612552
oct133707122740
934744858436
1012333131232
115259805044
122482410880
1312171928b6
1484dd774d2
154c2b2618c
hex2df1ca5e0

12333131232 has 48 divisors (see below), whose sum is σ = 32580716112. Its totient is φ = 4084853760.

The previous prime is 12333131203. The next prime is 12333131243. The reversal of 12333131232 is 23213133321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×123331312322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394069 + ... + 424212.

It is an arithmetic number, because the mean of its divisors is an integer number (678764919).

Almost surely, 212333131232 is an apocalyptic number.

12333131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12333131232 is an abundant number, since it is smaller than the sum of its proper divisors (20247584880).

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

12333131232 is a wasteful number, since it uses less digits than its factorization.

12333131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818451 (or 818443 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 12333131232 its reverse (23213133321), we get a palindrome (35546264553).

The spelling of 12333131232 in words is "twelve billion, three hundred thirty-three million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 7536 15072 818281 1636562 2454843 3273124 4909686 6546248 9819372 13092496 19638744 26184992 39277488 78554976 128470117 256940234 385410351 513880468 770820702 1027760936 1541641404 2055521872 3083282808 4111043744 6166565616 12333131232