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214310311220 = 22510715515561
BaseRepresentation
bin1100011110010111100…
…0111101010100110100
3202111011122122211001002
43013211320331110310
512002401414424340
6242241445422432
721324544405655
oct3074570752464
9674148584032
10214310311220
1182985646895
123565010aa18
1317294cc9255
14a53089352c
155894951715
hex31e5e3d534

214310311220 has 12 divisors (see below), whose sum is σ = 450051653604. Its totient is φ = 85724124480.

The previous prime is 214310311213. The next prime is 214310311223. The reversal of 214310311220 is 22113013412.

It can be written as a sum of positive squares in 2 ways, for example, as 37806135844 + 176504175376 = 194438^2 + 420124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10715515561 = 214310311220 / (2 + 1 + 4 + 3 + 1 + 0 + 3 + 1 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 214310311192 and 214310311201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214310311223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5357757761 + ... + 5357757800.

It is an arithmetic number, because the mean of its divisors is an integer number (37504304467).

Almost surely, 2214310311220 is an apocalyptic number.

214310311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214310311220 is an abundant number, since it is smaller than the sum of its proper divisors (235741342384).

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

214310311220 is a wasteful number, since it uses less digits than its factorization.

214310311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10715515570 (or 10715515568 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 214310311220 its reverse (22113013412), we get a palindrome (236423324632).

The spelling of 214310311220 in words is "two hundred fourteen billion, three hundred ten million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 10715515561 21431031122 42862062244 53577577805 107155155610 214310311220