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213332133 = 37217194493
BaseRepresentation
bin11001011011100…
…11000010100101
3112212102101200010
430231303002211
5414103112013
633100240433
75200202400
oct1455630245
9485371603
10213332133
11aa469653
125b540119
1335274741
1420492d37
1513ade7c3
hexcb730a5

213332133 has 48 divisors (see below), whose sum is σ = 368867520. Its totient is φ = 108670464.

The previous prime is 213332101. The next prime is 213332137. The reversal of 213332133 is 331233312.

213332133 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 213332133 - 25 = 213332101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213332137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45235 + ... + 49727.

It is an arithmetic number, because the mean of its divisors is an integer number (7684740).

Almost surely, 2213332133 is an apocalyptic number.

It is an amenable number.

213332133 is a deficient number, since it is larger than the sum of its proper divisors (155535387).

213332133 is a wasteful number, since it uses less digits than its factorization.

213332133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4539 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 213332133 is about 14605.8937761439. The cubic root of 213332133 is about 597.5195122098.

Adding to 213332133 its reverse (331233312), we get a palindrome (544565445).

The spelling of 213332133 in words is "two hundred thirteen million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 17 19 21 49 51 57 119 133 147 323 357 399 833 931 969 2261 2499 2793 4493 6783 13479 15827 31451 47481 76381 85367 94353 220157 229143 256101 534667 597569 660471 1451239 1604001 1792707 3742669 4182983 4353717 10158673 11228007 12548949 30476019 71110711 213332133