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211122020 = 22518158321
BaseRepresentation
bin11001001010101…
…11011101100100
3112201021002222002
430211113131210
5413021401040
632541024432
75142336044
oct1445273544
9481232862
10211122020
11a919a10a
125a855118
133497c795
1420079724
1513804a15
hexc957764

211122020 has 24 divisors (see below), whose sum is σ = 445813368. Its totient is φ = 83980800.

The previous prime is 211122013. The next prime is 211122047. The reversal of 211122020 is 20221112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25563136 + 185558884 = 5056^2 + 13622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211121992 and 211122010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25541 + ... + 32780.

It is an arithmetic number, because the mean of its divisors is an integer number (18575557).

Almost surely, 2211122020 is an apocalyptic number.

211122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122020 is an abundant number, since it is smaller than the sum of its proper divisors (234691348).

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

211122020 is a wasteful number, since it uses less digits than its factorization.

211122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58511 (or 58509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 211122020 is about 14530.0385408986. The cubic root of 211122020 is about 595.4489185625.

Adding to 211122020 its reverse (20221112), we get a palindrome (231343132).

It can be divided in two parts, 21112 and 2020, that added together give a palindrome (23132).

The spelling of 211122020 in words is "two hundred eleven million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 58321 116642 233284 291605 583210 1166420 10556101 21112202 42224404 52780505 105561010 211122020