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22222131102020 = 22510111969919129
BaseRepresentation
bin1010000110101111111100…
…01110110000000101000100
32220200102012112011111202102
411003113332032300011010
510403041411030231040
6115132412303331232
74452332060523203
oct503277616600504
986612175144672
1022222131102020
11709839774a583
1225aa96a8b0b18
13c526cbbcc4c5
1456b7b213923a
152880ae1b1515
hex1435fe3b0144

22222131102020 has 48 divisors (see below), whose sum is σ = 47132508452400. Its totient is φ = 8800099123200.

The previous prime is 22222131102019. The next prime is 22222131102049. The reversal of 22222131102020 is 2020113122222.

It can be written as a sum of positive squares in 8 ways, for example, as 245555927296 + 21976575174724 = 495536^2 + 4687918^2 .

It is a super-2 number, since 2×222221311020202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22222131101983 and 22222131102001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23717816 + ... + 24636944.

It is an arithmetic number, because the mean of its divisors is an integer number (981927259425).

Almost surely, 222222131102020 is an apocalyptic number.

22222131102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22222131102020 is an abundant number, since it is smaller than the sum of its proper divisors (24910377350380).

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

22222131102020 is a wasteful number, since it uses less digits than its factorization.

22222131102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931208 (or 931206 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22222131102020 its reverse (2020113122222), we get a palindrome (24242244224242).

It can be divided in two parts, 2222213 and 1102020, that added together give a palindrome (3324233).

The spelling of 22222131102020 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred thirty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 11969 23938 47876 59845 119690 239380 919129 1208869 1838258 2417738 3676516 4595645 4835476 6044345 9191290 12088690 18382580 24177380 92832029 185664058 371328116 464160145 928320290 1856640580 11001055001 22002110002 44004220004 55005275005 110010550010 220021100020 1111106555101 2222213110202 4444426220404 5555532775505 11111065551010 22222131102020