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20321213031 = 3273131133457
BaseRepresentation
bin10010111011001111…
…010001101001100111
31221110012221120200200
4102323033101221213
5313104212304111
613200242041543
71316402314020
oct227317215147
957405846620
1020321213031
118688882139
123b316492b3
131bbb0c2012
14daac1bc47
157de06a256
hex4bb3d1a67

20321213031 has 48 divisors (see below), whose sum is σ = 34740645888. Its totient is φ = 11201068800.

The previous prime is 20321213027. The next prime is 20321213039. The reversal of 20321213031 is 13031212302.

20321213031 is a `hidden beast` number, since 20 + 321 + 21 + 303 + 1 = 666.

It is not a de Polignac number, because 20321213031 - 22 = 20321213027 is a prime.

It is a super-2 number, since 2×203212130312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20321212995 and 20321213013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321213039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590655 + ... + 624111.

It is an arithmetic number, because the mean of its divisors is an integer number (723763456).

Almost surely, 220321213031 is an apocalyptic number.

20321213031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20321213031 is a deficient number, since it is larger than the sum of its proper divisors (14419432857).

20321213031 is a wasteful number, since it uses less digits than its factorization.

20321213031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33812 (or 33809 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20321213031 its reverse (13031212302), we get a palindrome (33352425333).

The spelling of 20321213031 in words is "twenty billion, three hundred twenty-one million, two hundred thirteen thousand, thirty-one".

Divisors: 1 3 7 9 21 31 63 93 217 279 311 651 933 1953 2177 2799 6531 9641 19593 28923 33457 67487 86769 100371 202461 234199 301113 607383 702597 1037167 2107791 3111501 7260169 9334503 10405127 21780507 31215381 65341521 72835889 93646143 218507667 322558937 655523001 967676811 2257912559 2903030433 6773737677 20321213031