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212011211322 = 23419123928669
BaseRepresentation
bin1100010101110011011…
…0100101101000111010
3202021020102111102220000
43011130312211220322
511433144332230242
6241221400013430
721213556363551
oct3053466455072
9667212442800
10212011211322
1181a05890029
123510a161276
1316cb98aaa01
14a3933bad98
1557acbaba4c
hex315cda5a3a

212011211322 has 80 divisors (see below), whose sum is σ = 479564236800. Its totient is φ = 70003815840.

The previous prime is 212011211309. The next prime is 212011211351. The reversal of 212011211322 is 223112110212.

212011211322 is a `hidden beast` number, since 2 + 120 + 11 + 211 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212011211295 and 212011211304.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7380804 + ... + 7409472.

It is an arithmetic number, because the mean of its divisors is an integer number (5994552960).

Almost surely, 2212011211322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011211322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239782118400).

212011211322 is an abundant number, since it is smaller than the sum of its proper divisors (267553025478).

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

212011211322 is a wasteful number, since it uses less digits than its factorization.

212011211322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29113 (or 29104 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212011211322 its reverse (223112110212), we get a palindrome (435123321534).

The spelling of 212011211322 in words is "two hundred twelve billion, eleven million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 191 239 382 478 573 717 1146 1434 1719 2151 3438 4302 5157 6453 10314 12906 15471 19359 28669 30942 38718 45649 57338 86007 91298 136947 172014 258021 273894 410841 516042 774063 821682 1232523 1548126 2322189 2465046 3697569 4644378 5475779 6851891 7395138 10951558 13703782 16427337 20555673 32854674 41111346 49282011 61667019 98564022 123334038 147846033 185001057 295692066 370002114 443538099 555003171 887076198 1110006342 1308711181 2617422362 3926133543 7852267086 11778400629 23556801258 35335201887 70670403774 106005605661 212011211322