Search a number
-
+
213031101231 = 32138921619467
BaseRepresentation
bin1100011001100110100…
…1001010001100101111
3202100212111121012211100
43012121221022030233
511442241430214411
6241510511454143
721251052324534
oct3063151121457
9670774535740
10213031101231
1182389559453
1235353827353
131711cc90170
14a44ca24d8b
15581c4bb456
hex3199a4a32f

213031101231 has 48 divisors (see below), whose sum is σ = 335295586080. Its totient is φ = 129549404160.

The previous prime is 213031101209. The next prime is 213031101299. The reversal of 213031101231 is 132101130312.

213031101231 is a `hidden beast` number, since 21 + 303 + 110 + 1 + 231 = 666.

213031101231 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 213031101231 - 27 = 213031101103 is a prime.

It is a super-2 number, since 2×2130311012312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213031100231) 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 47 ways as a sum of consecutive naturals, for example, 22497760 + ... + 22507226.

It is an arithmetic number, because the mean of its divisors is an integer number (6985324710).

Almost surely, 2213031101231 is an apocalyptic number.

213031101231 is a deficient number, since it is larger than the sum of its proper divisors (122264484849).

213031101231 is a wasteful number, since it uses less digits than its factorization.

213031101231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213031101231 its reverse (132101130312), we get a palindrome (345132231543).

The spelling of 213031101231 in words is "two hundred thirteen billion, thirty-one million, one hundred one thousand, two hundred thirty-one".

Divisors: 1 3 9 13 39 89 117 267 801 1157 2161 3471 6483 9467 10413 19449 28093 28401 84279 85203 123071 192329 252837 369213 576987 842563 1107639 1730961 2500277 2527689 7500831 7583067 10953319 20458187 22502493 32859957 61374561 98579871 184123683 265956431 797869293 1820778643 2393607879 5462335929 16387007787 23670122359 71010367077 213031101231