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31130221122 = 2327111367107241
BaseRepresentation
bin11100111111100000…
…010111101001000010
32222100112000002021200
4130333200113221002
51002223314033442
622145004402030
72151302341110
oct347740275102
988315002250
1031130221122
111222521a980
126049546316
132c215975b0
1417145b2ab0
15c22e7e34c
hex73f817a42

31130221122 has 384 divisors, whose sum is σ = 93156231168. Its totient is φ = 7253452800.

The previous prime is 31130221121. The next prime is 31130221159. The reversal of 31130221122 is 22112203113.

It is a super-2 number, since 2×311302211222 (a number of 22 digits) contains 22 as substring.

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 = 31130221095 and 31130221104.

It is not an unprimeable number, because it can be changed into a prime (31130221121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129170922 + ... + 129171162.

It is an arithmetic number, because the mean of its divisors is an integer number (242594352).

Almost surely, 231130221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31130221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46578115584).

31130221122 is an abundant number, since it is smaller than the sum of its proper divisors (62026010046).

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

31130221122 is a wasteful number, since it uses less digits than its factorization.

31130221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 451 counting only the distinct ones).

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

Adding to 31130221122 its reverse (22112203113), we get a palindrome (53242424235).

It can be divided in two parts, 31130 and 221122, that added together give a palindrome (252252).

The spelling of 31130221122 in words is "thirty-one billion, one hundred thirty million, two hundred twenty-one thousand, one hundred twenty-two".