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20021332123332 = 2232556148114537
BaseRepresentation
bin1001000110101100101000…
…11000111001111011000100
32121220000120001121122120200
410203112110120321323010
510111012142010421312
6110325401211330500
74134331163050161
oct443262430717304
977800501548520
1020021332123332
116419aaa035031
1222b4327750a30
13b23007962c17
144d3075427068
1524ac02a3a0dc
hex123594639ec4

20021332123332 has 18 divisors (see below), whose sum is σ = 50609478422958. Its totient is φ = 6673777374432.

The previous prime is 20021332123319. The next prime is 20021332123333. The reversal of 20021332123332 is 23332123312002.

20021332123332 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 1 + 3 + 321 + 2 + 3 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14050082742336 + 5971249380996 = 3748344^2 + 2443614^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×200213321233323 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20021332123296 and 20021332123305.

It is not an unprimeable number, because it can be changed into a prime (20021332123333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278074057233 + ... + 278074057304.

Almost surely, 220021332123332 is an apocalyptic number.

It is an amenable number.

20021332123332 is an abundant number, since it is smaller than the sum of its proper divisors (30588146299626).

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

20021332123332 is a wasteful number, since it uses less digits than its factorization.

20021332123332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556148114547 (or 556148114542 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20021332123332 its reverse (23332123312002), we get a palindrome (43353455435334).

The spelling of 20021332123332 in words is "twenty trillion, twenty-one billion, three hundred thirty-two million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 556148114537 1112296229074 1668444343611 2224592458148 3336888687222 5005333030833 6673777374444 10010666061666 20021332123332