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211020020020 = 225314710097177
BaseRepresentation
bin1100010010000111000…
…1011111100100110100
3202011200100101201001001
43010201301133210310
511424132111120040
6240535151213044
721150162401155
oct3044161374464
9664610351031
10211020020020
1181547333367
1234a92217184
1316b8c436094
14a2db8c392c
155750b6a59a
hex3121c5f934

211020020020 has 96 divisors (see below), whose sum is σ = 467697807360. Its totient is φ = 79856824320.

The previous prime is 211020019999. The next prime is 211020020021. The reversal of 211020020020 is 20020020112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211020019979 and 211020020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020020021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29398672 + ... + 29405848.

It is an arithmetic number, because the mean of its divisors is an integer number (4871852160).

Almost surely, 2211020020020 is an apocalyptic number.

211020020020 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 211020020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233848903680).

211020020020 is an abundant number, since it is smaller than the sum of its proper divisors (256677787340).

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

211020020020 is a wasteful number, since it uses less digits than its factorization.

211020020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 211020020020 its reverse (20020020112), we get a palindrome (231040040132).

The spelling of 211020020020 in words is "two hundred eleven billion, twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 620 940 1009 1457 2018 2914 4036 5045 5828 7177 7285 10090 14354 14570 20180 28708 29140 31279 35885 47423 62558 71770 94846 125116 143540 156395 189692 222487 237115 312790 337319 444974 474230 625580 674638 889948 948460 1112435 1349276 1470113 1686595 2224870 2940226 3373190 4449740 5880452 6746380 7241593 7350565 10456889 14483186 14701130 20913778 28966372 29402260 36207965 41827556 52284445 72415930 104568890 144831860 209137780 224489383 340354871 448978766 680709742 897957532 1122446915 1361419484 1701774355 2244893830 3403548710 4489787660 6807097420 10551001001 21102002002 42204004004 52755005005 105510010010 211020020020