Search a number
-
+
3213002133 = 351129181229
BaseRepresentation
bin1011111110000010…
…1000010110010101
322021220211102100000
42333200220112111
523040012032013
61250453441513
7142423032105
oct27740502625
98256742300
103213002133
1113a9724070
12758040299
133c28719c3
14226a11205
1513c11a973
hexbf828595

3213002133 has 96 divisors (see below), whose sum is σ = 5485334400. Its totient is φ = 1861574400.

The previous prime is 3213002129. The next prime is 3213002137. The reversal of 3213002133 is 3312003123.

3213002133 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 (3213002129) and next prime (3213002137).

It is not a de Polignac number, because 3213002133 - 22 = 3213002129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213002137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14030463 + ... + 14030691.

It is an arithmetic number, because the mean of its divisors is an integer number (57138900).

Almost surely, 23213002133 is an apocalyptic number.

3213002133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3213002133 is a deficient number, since it is larger than the sum of its proper divisors (2272332267).

3213002133 is a wasteful number, since it uses less digits than its factorization.

3213002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3213002133 is about 56683.3496981256. The cubic root of 3213002133 is about 1475.6057468721.

Adding to 3213002133 its reverse (3312003123), we get a palindrome (6525005256).

The spelling of 3213002133 in words is "three billion, two hundred thirteen million, two thousand, one hundred thirty-three".

Divisors: 1 3 9 11 27 29 33 81 87 99 181 229 243 261 297 319 543 687 783 891 957 1629 1991 2061 2349 2519 2673 2871 4887 5249 5973 6183 6641 7047 7557 8613 14661 15747 17919 18549 19923 22671 25839 41449 43983 47241 53757 55647 57739 59769 68013 73051 77517 124347 141723 161271 173217 179307 204039 219153 373041 425169 455939 483813 519651 537921 612117 657459 1119123 1202021 1275507 1367817 1558953 1613763 1972377 3357369 3606063 4103451 4676859 5917131 10072107 10818189 12310353 13222231 14030577 17751393 32454567 36931059 39666693 97363701 110793177 119000079 292091103 357000237 1071000711 3213002133