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22131000020 = 2251106550001
BaseRepresentation
bin10100100111000111…
…000100001011010100
32010010100101021201102
4110213013010023110
5330311014000040
614100012045232
71412266252643
oct244707041324
963110337642
1022131000020
119427410968
124357763818
13211902a9ac
1410dd32135a
15897da8515
hex5271c42d4

22131000020 has 12 divisors (see below), whose sum is σ = 46475100084. Its totient is φ = 8852400000.

The previous prime is 22131000013. The next prime is 22131000029. The reversal of 22131000020 is 2000013122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16559571856 + 5571428164 = 128684^2 + 74642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22130999965 and 22131000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131000029) 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, 553274981 + ... + 553275020.

It is an arithmetic number, because the mean of its divisors is an integer number (3872925007).

Almost surely, 222131000020 is an apocalyptic number.

22131000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131000020 is an abundant number, since it is smaller than the sum of its proper divisors (24344100064).

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

22131000020 is a wasteful number, since it uses less digits than its factorization.

22131000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106550010 (or 1106550008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 22131000020 its reverse (2000013122), we get a palindrome (24131013142).

The spelling of 22131000020 in words is "twenty-two billion, one hundred thirty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 1106550001 2213100002 4426200004 5532750005 11065500010 22131000020