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20031211013121 = 3271128905066397
BaseRepresentation
bin1001000110111111000010…
…01101111000010000000001
32121220222001112111020201200
410203133201031320100001
510111142410004404441
6110334113350251413
74135131040165140
oct443374115702001
977828045436650
1020031211013121
11642320944a160
1222b6224056b69
13b23c20528039
144d3731461757
1524b0cee737b6
hex1237e1378401

20031211013121 has 24 divisors (see below), whose sum is σ = 36073522864704. Its totient is φ = 10405823902560.

The previous prime is 20031211013053. The next prime is 20031211013147. The reversal of 20031211013121 is 12131011213002.

20031211013121 is a `hidden beast` number, since 200 + 31 + 21 + 101 + 312 + 1 = 666.

It is not a de Polignac number, because 20031211013121 - 27 = 20031211012993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20031211013094 and 20031211013103.

It is not an unprimeable number, because it can be changed into a prime (20031211015121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14452532506 + ... + 14452533891.

It is an arithmetic number, because the mean of its divisors is an integer number (1503063452696).

Almost surely, 220031211013121 is an apocalyptic number.

20031211013121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20031211013121 is a deficient number, since it is larger than the sum of its proper divisors (16042311851583).

20031211013121 is a wasteful number, since it uses less digits than its factorization.

20031211013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28905066421 (or 28905066418 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20031211013121 its reverse (12131011213002), we get a palindrome (32162222226123).

The spelling of 20031211013121 in words is "twenty trillion, thirty-one billion, two hundred eleven million, thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 28905066397 86715199191 202335464779 260145597573 317955730367 607006394337 953867191101 1821019183011 2225690112569 2861601573303 6677070337707 20031211013121