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31323411432 = 2332691629591
BaseRepresentation
bin11101001011000001…
…010101001111101000
32222211222112011120100
4131023001111033220
51003122243131212
622220105225400
72156136414135
oct351301251750
988758464510
1031323411432
1112314281695
1260a2192260
132c526091a1
14173210158c
15c34de0bdc
hex74b0553e8

31323411432 has 48 divisors (see below), whose sum is σ = 84957144480. Its totient is φ = 10426010400.

The previous prime is 31323411377. The next prime is 31323411451. The reversal of 31323411432 is 23411432313.

It is a happy number.

31323411432 is a `hidden beast` number, since 313 + 2 + 341 + 1 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×313234114322 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31323411396 and 31323411405.

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 11 ways as a sum of consecutive naturals, for example, 265044 + ... + 364547.

It is an arithmetic number, because the mean of its divisors is an integer number (1769940510).

Almost surely, 231323411432 is an apocalyptic number.

It is an amenable number.

31323411432 is an abundant number, since it is smaller than the sum of its proper divisors (53633733048).

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

31323411432 is a wasteful number, since it uses less digits than its factorization.

31323411432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630294 (or 630287 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 31323411432 its reverse (23411432313), we get a palindrome (54734843745).

The spelling of 31323411432 in words is "thirty-one billion, three hundred twenty-three million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 691 1382 2073 2764 4146 5528 6219 8292 12438 16584 24876 49752 629591 1259182 1888773 2518364 3777546 5036728 5666319 7555092 11332638 15110184 22665276 45330552 435047381 870094762 1305142143 1740189524 2610284286 3480379048 3915426429 5220568572 7830852858 10441137144 15661705716 31323411432