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211122021100212 = 223237829191194229
BaseRepresentation
bin110000000000001110101101…
…000100100110101010110100
31000200112001211122111212122200
4300000032231010212222310
5210133010344400201322
62025004041220424500
762320030331656035
oct6000165504465264
91020461748455580
10211122021100212
11612a7389a75932
121b818a41848130
1390a594b521781
143a1c508ad0a8c
151961b7cd7d8ac
hexc003ad126ab4

211122021100212 has 72 divisors (see below), whose sum is σ = 548754207292200. Its totient is φ = 68389410578688.

The previous prime is 211122021100187. The next prime is 211122021100229. The reversal of 211122021100212 is 212001120221112.

211122021100212 is a `hidden beast` number, since 2 + 111 + 220 + 21 + 100 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44761398636816 + 166360622463396 = 6690396^2 + 12898086^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94492887 + ... + 96701342.

Almost surely, 2211122021100212 is an apocalyptic number.

It is an amenable number.

211122021100212 is an abundant number, since it is smaller than the sum of its proper divisors (337632186191988).

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

211122021100212 is a wasteful number, since it uses less digits than its factorization.

211122021100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191195105 (or 191195100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122021100212 its reverse (212001120221112), we get a palindrome (423123141321324).

The spelling of 211122021100212 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty-one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 829 1332 1658 2487 3316 4974 7461 9948 14922 29844 30673 61346 92019 122692 184038 276057 368076 552114 1104228 191194229 382388458 573582687 764776916 1147165374 1720748061 2294330748 3441496122 6882992244 7074186473 14148372946 21222559419 28296745892 42445118838 63667678257 84890237676 127335356514 158500015841 254670713028 317000031682 475500047523 634000063364 951000095046 1426500142569 1902000190092 2853000285138 5706000570276 5864500586117 11729001172234 17593501758351 23458002344468 35187003516702 52780505275053 70374007033404 105561010550106 211122021100212