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213013141 = 111011091759
BaseRepresentation
bin11001011001001…
…01001010010101
3112211211012002121
430230211022111
5414012410031
633045335541
75164403365
oct1454451225
9484735077
10213013141
11aa270a20
125b4075b1
13351924a3
142040c9a5
1513a7a011
hexcb25295

213013141 has 16 divisors (see below), whose sum is σ = 236966400. Its totient is φ = 189864000.

The previous prime is 213013117. The next prime is 213013147. The reversal of 213013141 is 141310312.

It is a cyclic number.

It is not a de Polignac number, because 213013141 - 211 = 213011093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120220 + ... + 121978.

It is an arithmetic number, because the mean of its divisors is an integer number (14810400).

Almost surely, 2213013141 is an apocalyptic number.

It is an amenable number.

213013141 is a deficient number, since it is larger than the sum of its proper divisors (23953259).

213013141 is a wasteful number, since it uses less digits than its factorization.

213013141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 213013141 is about 14594.9697156246. The cubic root of 213013141 is about 597.2215433058.

Adding to 213013141 its reverse (141310312), we get a palindrome (354323453).

It can be divided in two parts, 21301 and 3141, that added together give a palindrome (24442).

The spelling of 213013141 in words is "two hundred thirteen million, thirteen thousand, one hundred forty-one".

Divisors: 1 11 101 109 1111 1199 1759 11009 19349 121099 177659 191731 1954249 2109041 19364831 213013141