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213004253 = 71161101449
BaseRepresentation
bin11001011001000…
…10111111011101
3112211210201220102
430230202333131
5414012114003
633045230445
75164335440
oct1454427735
9484721812
10213004253
11aa265280
125b402425
133518b427
1420409657
1513a77588
hexcb22fdd

213004253 has 32 divisors (see below), whose sum is σ = 273196800. Its totient is φ = 161280000.

The previous prime is 213004243. The next prime is 213004277. The reversal of 213004253 is 352400312.

It is a happy number.

It is not a de Polignac number, because 213004253 - 28 = 213003997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213004243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474173 + ... + 474621.

It is an arithmetic number, because the mean of its divisors is an integer number (8537400).

Almost surely, 2213004253 is an apocalyptic number.

It is an amenable number.

213004253 is a deficient number, since it is larger than the sum of its proper divisors (60192547).

213004253 is a wasteful number, since it uses less digits than its factorization.

213004253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 213004253 is about 14594.6652239782. The cubic root of 213004253 is about 597.2132368091.

Adding to 213004253 its reverse (352400312), we get a palindrome (565404565).

The spelling of 213004253 in words is "two hundred thirteen million, four thousand, two hundred fifty-three".

Divisors: 1 7 11 61 77 101 427 449 671 707 1111 3143 4697 4939 6161 7777 27389 34573 43127 45349 67771 191723 301279 317443 474397 498839 2108953 2766289 3491873 19364023 30429179 213004253