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20121333311322 = 234421295025561
BaseRepresentation
bin1001001001100110111001…
…11011001010011101011010
32122020120200022111100110000
410210303130323022131122
510114131442311430242
6110443340220033430
74144501253114205
oct444633473123532
978216608440400
1020121333311322
116458456101741
12230b795992876
13b2c58379a2c9
144d7c406b693c
1524d606e0ba4c
hex124cdceca75a

20121333311322 has 40 divisors (see below), whose sum is σ = 45193785740532. Its totient is φ = 6691179700800.

The previous prime is 20121333311309. The next prime is 20121333311327. The reversal of 20121333311322 is 22311333312102.

20121333311322 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 3 + 3 + 331 + 1 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20117297123361 + 4036187961 = 4485231^2 + 63531^2 .

It is a super-2 number, since 2×201213333113222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20121333311327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 147444579 + ... + 147580982.

Almost surely, 220121333311322 is an apocalyptic number.

20121333311322 is an abundant number, since it is smaller than the sum of its proper divisors (25072452429210).

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

20121333311322 is a wasteful number, since it uses less digits than its factorization.

20121333311322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295025996 (or 295025987 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 20121333311322 its reverse (22311333312102), we get a palindrome (42432666623424).

The spelling of 20121333311322 in words is "twenty trillion, one hundred twenty-one billion, three hundred thirty-three million, three hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 421 842 1263 2526 3789 7578 11367 22734 34101 68202 295025561 590051122 885076683 1770153366 2655230049 5310460098 7965690147 15931380294 23897070441 47794140882 124205761181 248411522362 372617283543 745234567086 1117851850629 2235703701258 3353555551887 6707111103774 10060666655661 20121333311322