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131221022033 = 1737474438691
BaseRepresentation
bin111101000110101100…
…0011110010101010001
3110112201000111120222002
41322031120132111101
54122220040201113
6140140533523345
712323531166233
oct1721530362521
9415630446862
10131221022033
1150717934052
12215217a3555
13c4b2b4968a
1464cb70c253
153630152c58
hex1e8d61e551

131221022033 has 16 divisors (see below), whose sum is σ = 145731135744. Its totient is φ = 117607530240.

The previous prime is 131221022017. The next prime is 131221022047. The reversal of 131221022033 is 330220122131.

It is a cyclic number.

It is not a de Polignac number, because 131221022033 - 24 = 131221022017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131221021996 and 131221022014.

It is not an unprimeable number, because it can be changed into a prime (131221022003) 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 15 ways as a sum of consecutive naturals, for example, 2189783 + ... + 2248908.

It is an arithmetic number, because the mean of its divisors is an integer number (9108195984).

Almost surely, 2131221022033 is an apocalyptic number.

It is an amenable number.

131221022033 is a deficient number, since it is larger than the sum of its proper divisors (14510113711).

131221022033 is a wasteful number, since it uses less digits than its factorization.

131221022033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438792.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131221022033 its reverse (330220122131), we get a palindrome (461441144164).

The spelling of 131221022033 in words is "one hundred thirty-one billion, two hundred twenty-one million, twenty-two thousand, thirty-three".

Divisors: 1 17 37 47 629 799 1739 29563 4438691 75457747 164231567 208618477 2791936639 3546514109 7718883649 131221022033