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213012400033 = 3135319939767
BaseRepresentation
bin1100011001100010000…
…1110100011110100001
3202100211012102002121101
43012120201310132201
511442222133300113
6241505002554401
721250434345226
oct3063041643641
9670735362541
10213012400033
1182379a45a14
1235349508a01
1317119142c74
14a44a35794d
15581aa252dd
hex31988747a1

213012400033 has 16 divisors (see below), whose sum is σ = 220639896576. Its totient is φ = 205432888320.

The previous prime is 213012400021. The next prime is 213012400039. The reversal of 213012400033 is 330004210312.

It is a cyclic number.

It is not a de Polignac number, because 213012400033 - 213 = 213012391841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213012400039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21804516 + ... + 21814282.

It is an arithmetic number, because the mean of its divisors is an integer number (13789993536).

Almost surely, 2213012400033 is an apocalyptic number.

It is an amenable number.

213012400033 is a deficient number, since it is larger than the sum of its proper divisors (7627496543).

213012400033 is a wasteful number, since it uses less digits than its factorization.

213012400033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12144.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213012400033 its reverse (330004210312), we get a palindrome (543016610345).

The spelling of 213012400033 in words is "two hundred thirteen billion, twelve million, four hundred thousand, thirty-three".

Divisors: 1 31 353 1993 9767 10943 61783 302777 703529 3447751 19465631 21809399 106880281 603434561 6871367743 213012400033