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32131121331 = 3197330725153
BaseRepresentation
bin11101111011001010…
…100000000010110011
310001221021101002020210
4131323022200002303
51011301031340311
622432201235203
72215145011401
oct357312400263
9101837332223
1032131121331
11126991a9031
126288792b03
133050a5b43a
1417ab4b6471
15c80c8c3a6
hex77b2a00b3

32131121331 has 32 divisors (see below), whose sum is σ = 45864797440. Its totient is φ = 19949359104.

The previous prime is 32131121311. The next prime is 32131121339. The reversal of 32131121331 is 13312113123.

It is a happy number.

It is not a de Polignac number, because 32131121331 - 25 = 32131121299 is a prime.

It is a super-2 number, since 2×321311213312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32131121298 and 32131121307.

It is not an unprimeable number, because it can be changed into a prime (32131121339) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1264851 + ... + 1290003.

It is an arithmetic number, because the mean of its divisors is an integer number (1433274920).

Almost surely, 232131121331 is an apocalyptic number.

32131121331 is a deficient number, since it is larger than the sum of its proper divisors (13733676109).

32131121331 is a wasteful number, since it uses less digits than its factorization.

32131121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25555.

The product of its digits is 324, while the sum is 21.

Adding to 32131121331 its reverse (13312113123), we get a palindrome (45443234454).

The spelling of 32131121331 in words is "thirty-two billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 19 57 73 219 307 921 1387 4161 5833 17499 22411 25153 67233 75459 425809 477907 1277427 1433721 1836169 5508507 7721971 23165913 34887211 104661633 146717449 440152347 563703883 1691111649 10710373777 32131121331