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31122210114 = 23217197516277
BaseRepresentation
bin11100111111000001…
…110011110101000010
32222022221221002020200
4130333001303311002
51002214241210424
622144120550030
72151144264312
oct347701636502
988287832220
1031122210114
1112220749106
126046922316
132c1ca21158
1417134c9442
15c223ea8c9
hex73f073d42

31122210114 has 48 divisors (see below), whose sum is σ = 71760576888. Its totient is φ = 9714249216.

The previous prime is 31122210109. The next prime is 31122210143. The reversal of 31122210114 is 41101222113.

It can be written as a sum of positive squares in 4 ways, for example, as 30710810025 + 411400089 = 175245^2 + 20283^2 .

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

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, 197857 + ... + 318420.

Almost surely, 231122210114 is an apocalyptic number.

31122210114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

31122210114 is an abundant number, since it is smaller than the sum of its proper divisors (40638366774).

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

31122210114 is a wasteful number, since it uses less digits than its factorization.

31122210114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516499 (or 516496 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31122210114 its reverse (41101222113), we get a palindrome (72223432227).

The spelling of 31122210114 in words is "thirty-one billion, one hundred twenty-two million, two hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 197 306 394 591 1182 1773 3349 3546 6698 10047 20094 30141 60282 516277 1032554 1548831 3097662 4646493 8776709 9292986 17553418 26330127 52660254 78990381 101706569 157980762 203413138 305119707 610239414 915359121 1729011673 1830718242 3458023346 5187035019 10374070038 15561105057 31122210114