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20201222121021 = 32103137393158611
BaseRepresentation
bin1001001011111011101101…
…01010110010011000111101
32122112012212220101101000200
410211331312222302120331
510121434100330333041
6110544151402314113
74153330054565634
oct445756652623075
978465786341020
1020201222121021
116489321273907
1223231704b8939
13b36c75871036
144dba5c78a51b
152507307651b6
hex125f76ab263d

20201222121021 has 24 divisors (see below), whose sum is σ = 29463239797056. Its totient is φ = 13336548013440.

The previous prime is 20201222121007. The next prime is 20201222121053. The reversal of 20201222121021 is 12012122210202.

It is a happy number.

20201222121021 is a `hidden beast` number, since 202 + 0 + 12 + 221 + 210 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2k-20201222121021 is a prime.

It is a super-4 number, since 4×202012221210214 (a number of 54 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20201222120985 and 20201222121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201222121721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127284006 + ... + 127442616.

It is an arithmetic number, because the mean of its divisors is an integer number (1227634991544).

Almost surely, 220201222121021 is an apocalyptic number.

It is an amenable number.

20201222121021 is a deficient number, since it is larger than the sum of its proper divisors (9262017676035).

20201222121021 is a wasteful number, since it uses less digits than its factorization.

20201222121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296113 (or 296110 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20201222121021 its reverse (12012122210202), we get a palindrome (32213344331223).

It can be divided in two parts, 20201 and 222121021, that added together give a palindrome (222141222).

The spelling of 20201222121021 in words is "twenty trillion, two hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 103 309 927 137393 158611 412179 475833 1236537 1427499 14151479 16336933 42454437 49010799 127363311 147032397 21792041123 65376123369 196128370107 2244580235669 6733740707007 20201222121021