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213310144 = 269973343
BaseRepresentation
bin11001011011011…
…01101011000000
3112212101021111201
430231231223000
5414101411034
633055550544
75200051315
oct1455555300
9485337451
10213310144
11aa454083
125b52b454
1335267728
1420488d0c
1513ad8014
hexcb6dac0

213310144 has 28 divisors (see below), whose sum is σ = 423838624. Its totient is φ = 106516224.

The previous prime is 213310117. The next prime is 213310147. The reversal of 213310144 is 441013312.

213310144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213310147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62137 + ... + 65479.

Almost surely, 2213310144 is an apocalyptic number.

It is an amenable number.

213310144 is a deficient number, since it is larger than the sum of its proper divisors (210528480).

213310144 is an equidigital number, since it uses as much as digits as its factorization.

213310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 213310144 is about 14605.1410126708. The cubic root of 213310144 is about 597.4989819255.

Adding to 213310144 its reverse (441013312), we get a palindrome (654323456).

It can be divided in two parts, 2133101 and 44, that added together give a triangular number (2133145 = T2065).

The spelling of 213310144 in words is "two hundred thirteen million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 997 1994 3343 3988 6686 7976 13372 15952 26744 31904 53488 63808 106976 213952 3332971 6665942 13331884 26663768 53327536 106655072 213310144