Search a number
-
+
222120131031 = 32831475920147
BaseRepresentation
bin1100111011011101100…
…1000011100111010111
3210020022221012202202200
43032313121003213113
512114400223143111
6250012433135543
722022225650641
oct3166731034727
9706287182680
10222120131031
1186223029027
123706b6ba5b3
1317c3b0128c6
14aa71bb3891
155ba03d2256
hex33b76439d7

222120131031 has 24 divisors (see below), whose sum is σ = 324743852160. Its totient is φ = 146278816656.

The previous prime is 222120131029. The next prime is 222120131039. The reversal of 222120131031 is 130131021222.

It is not a de Polignac number, because 222120131031 - 21 = 222120131029 is a prime.

It is a super-2 number, since 2×2221201310312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222120130995 and 222120131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120131039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11014900 + ... + 11035046.

It is an arithmetic number, because the mean of its divisors is an integer number (13530993840).

Almost surely, 2222120131031 is an apocalyptic number.

222120131031 is a deficient number, since it is larger than the sum of its proper divisors (102623721129).

222120131031 is a wasteful number, since it uses less digits than its factorization.

222120131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34995 (or 34992 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 222120131031 its reverse (130131021222), we get a palindrome (352251152253).

The spelling of 222120131031 in words is "two hundred twenty-two billion, one hundred twenty million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 83 249 747 14759 20147 44277 60441 132831 181323 1224997 1672201 3674991 5016603 11024973 15049809 297349573 892048719 2676146157 24680014559 74040043677 222120131031