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213283340541 = 3443106957283
BaseRepresentation
bin1100011010100010101…
…1011000000011111101
3202101112002020022010000
43012220223120003331
511443301013344131
6241551522104513
721260234324235
oct3065053300375
9671462208100
10213283340541
11824a8981597
12354041ab139
1317160307bab
14a474324cc5
1558346e3ce6
hex31a8ad80fd

213283340541 has 40 divisors (see below), whose sum is σ = 326328617120. Its totient is φ = 138749835168.

The previous prime is 213283340531. The next prime is 213283340551. The reversal of 213283340541 is 145043382312.

213283340541 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 83 + 34 + 0 + 541 = 666.

213283340541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213283340531) and next prime (213283340551).

It is not a de Polignac number, because 213283340541 - 210 = 213283339517 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213283340496 and 213283340505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213283340531) 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 39 ways as a sum of consecutive naturals, for example, 3694686 + ... + 3751968.

It is an arithmetic number, because the mean of its divisors is an integer number (8158215428).

Almost surely, 2213283340541 is an apocalyptic number.

It is an amenable number.

213283340541 is a deficient number, since it is larger than the sum of its proper divisors (113045276579).

213283340541 is a wasteful number, since it uses less digits than its factorization.

213283340541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58407 (or 58398 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 213283340541 in words is "two hundred thirteen billion, two hundred eighty-three million, three hundred forty thousand, five hundred forty-one".

Divisors: 1 3 9 27 43 81 129 387 1069 1161 3207 3483 9621 28863 45967 57283 86589 137901 171849 413703 515547 1241109 1546641 2463169 3723327 4639923 7389507 22168521 61235527 66505563 183706581 199516689 551119743 1653359229 2633127661 4960077687 7899382983 23698148949 71094446847 213283340541