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31121310222 = 23222930724593
BaseRepresentation
bin11100111110111110…
…011000001000001110
32222022220020100211100
4130332332120020032
51002214023411342
622144045403530
72151133525602
oct347676301016
988286210740
1031121310222
1112220193aa2
1260465695a6
132c1c797682
141713333502
15c222bde4c
hex73ef9820e

31121310222 has 48 divisors (see below), whose sum is σ = 67947319440. Its totient is φ = 10294407936.

The previous prime is 31121310197. The next prime is 31121310251. The reversal of 31121310222 is 22201312113.

31121310222 is a `hidden beast` number, since 311 + 2 + 131 + 0 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31121310195 and 31121310204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253158 + ... + 1277750.

It is an arithmetic number, because the mean of its divisors is an integer number (1415569155).

Almost surely, 231121310222 is an apocalyptic number.

31121310222 is an abundant number, since it is smaller than the sum of its proper divisors (36826009218).

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

31121310222 is a wasteful number, since it uses less digits than its factorization.

31121310222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25137 (or 25134 counting only the distinct ones).

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

Adding to 31121310222 its reverse (22201312113), we get a palindrome (53322622335).

The spelling of 31121310222 in words is "thirty-one billion, one hundred twenty-one million, three hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 229 307 458 614 687 921 1374 1842 2061 2763 4122 5526 24593 49186 70303 73779 140606 147558 210909 221337 421818 442674 632727 1265454 5631797 7550051 11263594 15100102 16895391 22650153 33790782 45300306 50686173 67950459 101372346 135900918 1728961679 3457923358 5186885037 10373770074 15560655111 31121310222