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2131122220 = 2251011099679
BaseRepresentation
bin111111100000110…
…0101100000101100
312111112002020002121
41333001211200230
513331031402340
6551245202324
7103545145213
oct17701454054
95445066077
102131122220
119a3a65737
124b58603a4
1327c696886
1416306c07a
15c716394a
hex7f06582c

2131122220 has 48 divisors (see below), whose sum is σ = 4561603200. Its totient is φ = 836179200.

The previous prime is 2131122199. The next prime is 2131122223. The reversal of 2131122220 is 222211312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2131122194 and 2131122203.

It is not an unprimeable number, because it can be changed into a prime (2131122223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215341 + ... + 225019.

It is an arithmetic number, because the mean of its divisors is an integer number (95033400).

Almost surely, 22131122220 is an apocalyptic number.

2131122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131122220 is an abundant number, since it is smaller than the sum of its proper divisors (2430480980).

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

2131122220 is a wasteful number, since it uses less digits than its factorization.

2131122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9898 (or 9896 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2131122220 is about 46164.0793258135. The cubic root of 2131122220 is about 1286.8742743860.

Adding to 2131122220 its reverse (222211312), we get a palindrome (2353333532).

The spelling of 2131122220 in words is "two billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 109 202 218 404 436 505 545 1010 1090 2020 2180 9679 11009 19358 22018 38716 44036 48395 55045 96790 110090 193580 220180 977579 1055011 1955158 2110022 3910316 4220044 4887895 5275055 9775790 10550110 19551580 21100220 106556111 213112222 426224444 532780555 1065561110 2131122220