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213282457401 = 3133125690719
BaseRepresentation
bin1100011010100010100…
…0000000011100111001
3202101112000120102200010
43012220220000130321
511443300302114101
6241551451132133
721260223655416
oct3065050003471
9671460512603
10213282457401
11824a8429022
1235403a44049
1317160088c20
14a47417510d
1558345bc2d6
hex31a8a00739

213282457401 has 24 divisors (see below), whose sum is σ = 316449557760. Its totient is φ = 127016825760.

The previous prime is 213282457393. The next prime is 213282457411. The reversal of 213282457401 is 104754282312.

It is a happy number.

It is not a de Polignac number, because 213282457401 - 23 = 213282457393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213282457401.

It is not an unprimeable number, because it can be changed into a prime (213282457411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2807881 + ... + 2882838.

It is an arithmetic number, because the mean of its divisors is an integer number (13185398240).

Almost surely, 2213282457401 is an apocalyptic number.

It is an amenable number.

213282457401 is a deficient number, since it is larger than the sum of its proper divisors (103167100359).

213282457401 is a wasteful number, since it uses less digits than its factorization.

213282457401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690797 (or 5690766 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 213282457401 in words is "two hundred thirteen billion, two hundred eighty-two million, four hundred fifty-seven thousand, four hundred one".

Divisors: 1 3 13 31 39 93 403 961 1209 2883 12493 37479 5690719 17072157 73979347 176412289 221938041 529236867 2293359757 5468780959 6880079271 16406342877 71094152467 213282457401