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20121303331031 = 731592416521197
BaseRepresentation
bin1001001001100110110110…
…01000110011000011010111
32122020120121020002012012212
410210303123020303003113
510114131412123043111
6110443333225304035
74144500440230130
oct444633310630327
978216536065185
1020121303331031
116458440195041
12230b78793501b
13b2c57a5012a6
144d7c3a710c87
1524d60448898b
hex124cdb2330d7

20121303331031 has 32 divisors (see below), whose sum is σ = 24240075509760. Its totient is φ = 16339508697600.

The previous prime is 20121303331027. The next prime is 20121303331097. The reversal of 20121303331031 is 13013330312102.

It is a cyclic number.

It is not a de Polignac number, because 20121303331031 - 22 = 20121303331027 is a prime.

It is a super-2 number, since 2×201213033310312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20121303330988 and 20121303331006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121303331231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175076 + ... + 6346121.

It is an arithmetic number, because the mean of its divisors is an integer number (757502359680).

Almost surely, 220121303331031 is an apocalyptic number.

20121303331031 is a deficient number, since it is larger than the sum of its proper divisors (4118772178729).

20121303331031 is a wasteful number, since it uses less digits than its factorization.

20121303331031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521535.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 20121303331031 its reverse (13013330312102), we get a palindrome (33134633643133).

The spelling of 20121303331031 in words is "twenty trillion, one hundred twenty-one billion, three hundred three million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 7 31 59 217 241 413 1687 1829 7471 12803 14219 52297 99533 440789 3085523 6521197 45648379 202157107 384750623 1415099749 1571608477 2693254361 11001259339 11927269313 48719862787 83490885191 92724900143 341039039509 649074301001 2874471904433 20121303331031