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21322020013131 = 3232332897457799
BaseRepresentation
bin1001101100100011010110…
…11011011100010001001011
32210111100212020100112012210
410312101223123130101023
510243314444110410011
6113203111211040203
74330315350514305
oct466215333342113
983440766315183
1021322020013131
116880688484a92
122484425440063
13bb8872419536
14539dc40b6975
1526e97c03e6a6
hex13646b6dc44b

21322020013131 has 32 divisors (see below), whose sum is σ = 29803087641600. Its totient is φ = 13533592945664.

The previous prime is 21322020013123. The next prime is 21322020013157. The reversal of 21322020013131 is 13131002022312.

It is a cyclic number.

It is not a de Polignac number, because 21322020013131 - 23 = 21322020013123 is a prime.

It is a super-2 number, since 2×213220200131312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21322020013098 and 21322020013107.

It is not an unprimeable number, because it can be changed into a prime (21322020813131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46346170 + ... + 46803968.

It is an arithmetic number, because the mean of its divisors is an integer number (931346488800).

Almost surely, 221322020013131 is an apocalyptic number.

21322020013131 is a deficient number, since it is larger than the sum of its proper divisors (8481067628469).

21322020013131 is a wasteful number, since it uses less digits than its factorization.

21322020013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460955.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21322020013131 its reverse (13131002022312), we get a palindrome (34453022035443).

The spelling of 21322020013131 in words is "twenty-one trillion, three hundred twenty-two billion, twenty million, thirteen thousand, one hundred thirty-one".

Divisors: 1 3 23 69 233 699 2897 5359 8691 16077 66631 199893 457799 675001 1373397 2025003 10529377 15525023 31588131 46575069 106667167 320001501 1326243703 2453344841 3978731109 7360034523 30503605169 91510815507 309014782799 927044348397 7107340004377 21322020013131