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213131217 = 31334715749
BaseRepresentation
bin11001011010000…
…01111111010001
3112212001012001210
430231001333101
5414030144332
633052050333
75165404545
oct1455017721
9485035053
10213131217
11aa341702
125b4639a9
1335204160
142043da25
1513a9eecc
hexcb41fd1

213131217 has 16 divisors (see below), whose sum is σ = 306936000. Its totient is φ = 130771392.

The previous prime is 213131209. The next prime is 213131249. The reversal of 213131217 is 712131312.

It is a happy number.

It is not a de Polignac number, because 213131217 - 23 = 213131209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213131193 and 213131202.

It is not an unprimeable number, because it can be changed into a prime (213131207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5659 + ... + 21407.

It is an arithmetic number, because the mean of its divisors is an integer number (19183500).

Almost surely, 2213131217 is an apocalyptic number.

It is an amenable number.

213131217 is a deficient number, since it is larger than the sum of its proper divisors (93804783).

213131217 is a wasteful number, since it uses less digits than its factorization.

213131217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16112.

The product of its digits is 252, while the sum is 21.

The square root of 213131217 is about 14599.0142475442. The cubic root of 213131217 is about 597.3318721883.

Adding to 213131217 its reverse (712131312), we get a palindrome (925262529).

The spelling of 213131217 in words is "two hundred thirteen million, one hundred thirty-one thousand, two hundred seventeen".

Divisors: 1 3 13 39 347 1041 4511 13533 15749 47247 204737 614211 5464903 16394709 71043739 213131217