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2131122210 = 2357217107797
BaseRepresentation
bin111111100000110…
…0101100000100010
312111112002020002020
41333001211200202
513331031402320
6551245202310
7103545145200
oct17701454042
95445066066
102131122210
119a3a65728
124b5860396
1327c696879
1416306c070
15c7163940
hex7f065822

2131122210 has 192 divisors, whose sum is σ = 6366584448. Its totient is φ = 453605376.

The previous prime is 2131122199. The next prime is 2131122223. The reversal of 2131122210 is 122211312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131122210.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2673532 + ... + 2674328.

It is an arithmetic number, because the mean of its divisors is an integer number (33159294).

Almost surely, 22131122210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183292224).

2131122210 is an abundant number, since it is smaller than the sum of its proper divisors (4235462238).

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

2131122210 is a wasteful number, since it uses less digits than its factorization.

2131122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2131122210 is about 46164.0792175042. The cubic root of 2131122210 is about 1286.8742723732.

Adding to 2131122210 its reverse (122211312), we get a palindrome (2253333522).

The spelling of 2131122210 in words is "two billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred ten".