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221302313210031 = 31933982111425123
BaseRepresentation
bin110010010100010111110101…
…110001000101000010101111
31002000120021221201011021001220
4302110113311301011002233
5213001304114140210111
62102400513523234423
764420364424101514
oct6224276561050257
91060507851137056
10221302313210031
11645718695164a9
12209a1a54b18a13
139663945988b81
143c9113673730b
151a8b8aae7ae06
hexc945f5c450af

221302313210031 has 16 divisors (see below), whose sum is σ = 310600679034240. Its totient is φ = 139769458489440.

The previous prime is 221302313209981. The next prime is 221302313210053. The reversal of 221302313210031 is 130012313203122.

221302313210031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221302313210031 - 29 = 221302313209519 is a prime.

It is a super-2 number, since 2×2213023132100312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221302313209983 and 221302313210010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221302313210071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13657236 + ... + 25082358.

It is an arithmetic number, because the mean of its divisors is an integer number (19412542439640).

Almost surely, 2221302313210031 is an apocalyptic number.

221302313210031 is a deficient number, since it is larger than the sum of its proper divisors (89298365824209).

221302313210031 is a wasteful number, since it uses less digits than its factorization.

221302313210031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11764966.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 221302313210031 its reverse (130012313203122), we get a palindrome (351314626413153).

The spelling of 221302313210031 in words is "two hundred twenty-one trillion, three hundred two billion, three hundred thirteen million, two hundred ten thousand, thirty-one".

Divisors: 1 3 19 57 339821 1019463 6456599 11425123 19369797 34275369 217077337 651232011 3882496722983 11647490168949 73767437736677 221302313210031