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31132123321 = 134158409237
BaseRepresentation
bin11100111111100111…
…101000000010111001
32222100122120201121111
4130333213220002321
51002224310421241
622145113240321
72151324452635
oct347747500271
988318521544
1031132123321
11122262aa042
12604a1030a1
132c21ab2360
141714949dc5
15c23207c81
hex73f9e80b9

31132123321 has 8 divisors (see below), whose sum is σ = 34344631944. Its totient is φ = 28036433280.

The previous prime is 31132123291. The next prime is 31132123331. The reversal of 31132123321 is 12332123113.

It can be written as a sum of positive squares in 4 ways, for example, as 6187395600 + 24944727721 = 78660^2 + 157939^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31132123321 - 25 = 31132123289 is a prime.

It is a super-4 number, since 4×311321233214 (a number of 43 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31132123292 and 31132123301.

It is not an unprimeable number, because it can be changed into a prime (31132123331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29204086 + ... + 29205151.

It is an arithmetic number, because the mean of its divisors is an integer number (4293078993).

Almost surely, 231132123321 is an apocalyptic number.

It is an amenable number.

31132123321 is a deficient number, since it is larger than the sum of its proper divisors (3212508623).

31132123321 is a wasteful number, since it uses less digits than its factorization.

31132123321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58409291.

The product of its digits is 648, while the sum is 22.

Adding to 31132123321 its reverse (12332123113), we get a palindrome (43464246434).

The spelling of 31132123321 in words is "thirty-one billion, one hundred thirty-two million, one hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 13 41 533 58409237 759320081 2394778717 31132123321