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211200022020 = 2235132924173863
BaseRepresentation
bin1100010010110010000…
…0001001011000000100
3202012010220002202100210
43010230200021120010
511430014201201040
6241005101235420
721154506365301
oct3045440113004
9665126082323
10211200022020
11816299a7549
1234b22562b70
1316bba80ab40
14a31777c0a8
155761874480
hex312c809604

211200022020 has 192 divisors, whose sum is σ = 659252805120. Its totient is φ = 50161262592.

The previous prime is 211200022013. The next prime is 211200022021. The reversal of 211200022020 is 20220002112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211200021987 and 211200022005.

It is not an unprimeable number, because it can be changed into a prime (211200022021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54670609 + ... + 54674471.

It is an arithmetic number, because the mean of its divisors is an integer number (3433608360).

Almost surely, 2211200022020 is an apocalyptic number.

211200022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211200022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329626402560).

211200022020 is an abundant number, since it is smaller than the sum of its proper divisors (448052783100).

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

211200022020 is a wasteful number, since it uses less digits than its factorization.

211200022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 211200022020 its reverse (20220002112), we get a palindrome (231420024132).

The spelling of 211200022020 in words is "two hundred eleven billion, two hundred million, twenty-two thousand, twenty".