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213132023 = 1319384947
BaseRepresentation
bin11001011010000…
…10001011110111
3112212001020011122
430231002023313
5414030211043
633052054155
75165410106
oct1455021367
9485036148
10213132023
11aa342275
125b46435b
1335204630
142044003d
1513aa0368
hexcb422f7

213132023 has 8 divisors (see below), whose sum is σ = 230718768. Its totient is φ = 195715584.

The previous prime is 213132001. The next prime is 213132047. The reversal of 213132023 is 320231312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213132023 - 28 = 213131767 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213131992 and 213132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39965 + ... + 44982.

It is an arithmetic number, because the mean of its divisors is an integer number (28839846).

Almost surely, 2213132023 is an apocalyptic number.

213132023 is a deficient number, since it is larger than the sum of its proper divisors (17586745).

213132023 is a wasteful number, since it uses less digits than its factorization.

213132023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85153.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213132023 is about 14599.0418521217. The cubic root of 213132023 is about 597.3326251655.

Adding to 213132023 its reverse (320231312), we get a palindrome (533363335).

The spelling of 213132023 in words is "two hundred thirteen million, one hundred thirty-two thousand, twenty-three".

Divisors: 1 13 193 2509 84947 1104311 16394771 213132023