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20212122012101 = 174128998740333
BaseRepresentation
bin1001001100010000000000…
…10110100100100111000101
32122120021000112110012122022
410212020000112210213011
510122123411213341401
6110553153133012525
74154164140254015
oct446100026444705
978507015405568
1020212122012101
116492a04a46358
1223252b2924145
13b37cc1b17426
144dc3b423bc45
15250b6c62c71b
hex1262005a49c5

20212122012101 has 8 divisors (see below), whose sum is σ = 21923047692504. Its totient is φ = 18559193812480.

The previous prime is 20212122012097. The next prime is 20212122012107. The reversal of 20212122012101 is 10121022121202.

It can be written as a sum of positive squares in 4 ways, for example, as 20121422500 + 20192000589601 = 141850^2 + 4493551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20212122012101 - 22 = 20212122012097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20212122012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212122012107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14499369470 + ... + 14499370863.

It is an arithmetic number, because the mean of its divisors is an integer number (2740380961563).

Almost surely, 220212122012101 is an apocalyptic number.

It is an amenable number.

20212122012101 is a deficient number, since it is larger than the sum of its proper divisors (1710925680403).

20212122012101 is a wasteful number, since it uses less digits than its factorization.

20212122012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28998740391.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20212122012101 its reverse (10121022121202), we get a palindrome (30333144133303).

The spelling of 20212122012101 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-two million, twelve thousand, one hundred one".

Divisors: 1 17 41 697 28998740333 492978585661 1188948353653 20212122012101