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211022010010020 = 223511319730318197
BaseRepresentation
bin101111111110110001100011…
…111100100100100110100100
31000200011111200201000002112010
4233332301203330210212210
5210124341034030310040
62024450101215554220
762306560061510436
oct5776614374444644
91020144621002463
10211022010010020
1161268a28355590
121b80159022b970
1390993a062b1b1
143a1773c3c4656
15195e277ba2e80
hexbfec63f249a4

211022010010020 has 48 divisors (see below), whose sum is σ = 644576321487168. Its totient is φ = 51156850911360.

The previous prime is 211022010010003. The next prime is 211022010010027. The reversal of 211022010010020 is 20010010220112.

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 = 211022010009978 and 211022010010005.

It is not an unprimeable number, because it can be changed into a prime (211022010010027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159865158439 + ... + 159865159758.

It is an arithmetic number, because the mean of its divisors is an integer number (13428673364316).

Almost surely, 2211022010010020 is an apocalyptic number.

211022010010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022010010020 is an abundant number, since it is smaller than the sum of its proper divisors (433554311477148).

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

211022010010020 is a wasteful number, since it uses less digits than its factorization.

211022010010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319730318220 (or 319730318218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211022010010020 its reverse (20010010220112), we get a palindrome (231032020230132).

The spelling of 211022010010020 in words is "two hundred eleven trillion, twenty-two billion, ten million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 319730318197 639460636394 959190954591 1278921272788 1598651590985 1918381909182 3197303181970 3517033500167 3836763818364 4795954772955 6394606363940 7034067000334 9591909545910 10551100500501 14068134000668 17585167500835 19183819091820 21102201001002 35170335001670 42204402002004 52755502502505 70340670003340 105511005005010 211022010010020