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213033123331 = 71915231051709
BaseRepresentation
bin1100011001100111000…
…0110111111000000011
3202100212122101221121221
43012121300313320003
511442242434421311
6241511023055511
721251105446060
oct3063160677003
9670778357557
10213033123331
118238a70a706
1235354441597
131712051a682
14a44cdcdc67
15581c76a671
hex3199c37e03

213033123331 has 16 divisors (see below), whose sum is σ = 256448966400. Its totient is φ = 172875554208.

The previous prime is 213033123323. The next prime is 213033123377. The reversal of 213033123331 is 133321330312.

213033123331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213033123331 - 23 = 213033123323 is a prime.

It is a super-2 number, since 2×2130331233312 (a number of 23 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 = 213033123296 and 213033123305.

It is not an unprimeable number, because it can be changed into a prime (213033120331) 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, 323296 + ... + 728413.

It is an arithmetic number, because the mean of its divisors is an integer number (16028060400).

Almost surely, 2213033123331 is an apocalyptic number.

213033123331 is a deficient number, since it is larger than the sum of its proper divisors (43415843069).

213033123331 is a wasteful number, since it uses less digits than its factorization.

213033123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053258.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 213033123331 its reverse (133321330312), we get a palindrome (346354453643).

The spelling of 213033123331 in words is "two hundred thirteen billion, thirty-three million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 7 19 133 1523 10661 28937 202559 1051709 7361963 19982471 139877297 1601752807 11212269649 30433303333 213033123331