Search a number
-
+
23200131213 = 3777919183
BaseRepresentation
bin10101100110110101…
…011110100010001101
32012212212010210000000
4111212311132202031
5340003213144323
614354043154513
71450630601340
oct254665364215
965785123000
1023200131213
119925961a66
1245b5815a39
1322596910bc
1411a1306457
1590bb92e43
hex566d5e88d

23200131213 has 64 divisors (see below), whose sum is σ = 40271052800. Its totient is φ = 13088722608.

The previous prime is 23200131179. The next prime is 23200131223. The reversal of 23200131213 is 31213100232.

23200131213 is a `hidden beast` number, since 2 + 320 + 0 + 131 + 213 = 666.

It is not a de Polignac number, because 23200131213 - 210 = 23200130189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200131223) 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 63 ways as a sum of consecutive naturals, for example, 1199820 + ... + 1219002.

It is an arithmetic number, because the mean of its divisors is an integer number (629235200).

Almost surely, 223200131213 is an apocalyptic number.

It is an amenable number.

23200131213 is a deficient number, since it is larger than the sum of its proper divisors (17070921587).

23200131213 is an frugal number, since it uses more digits than its factorization.

23200131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19290 (or 19272 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23200131213 its reverse (31213100232), we get a palindrome (54413231445).

The spelling of 23200131213 in words is "twenty-three billion, two hundred million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 63 79 81 189 237 243 553 567 711 729 1659 1701 2133 2187 4977 5103 6399 14931 15309 19183 19197 44793 57549 57591 134281 134379 172647 172773 402843 403137 517941 1208529 1209411 1515457 1553823 3625587 4546371 4661469 10608199 10876761 13639113 13984407 31824597 32630283 40917339 41953221 95473791 97890849 122752017 286421373 293672547 368256051 859264119 1104768153 2577792357 3314304459 7733377071 23200131213