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213130801 = 13211232
BaseRepresentation
bin11001011010000…
…01111000110001
3112212001011111101
430231001320301
5414030141201
633052044401
75165403412
oct1455017061
9485034441
10213130801
11aa341364
125b463701
1335203c00
142043d809
1513a9ed01
hexcb41e31

213130801 has 9 divisors (see below), whose sum is σ = 230992299. Its totient is φ = 196560936.

The previous prime is 213130783. The next prime is 213130817. The reversal of 213130801 is 108031312.

Multipling 213130801 by its product of nonzero digits (144), we get a square (30690835344 = 1751882).

The square root of 213130801 is 14599.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31528225 + 181602576 = 5615^2 + 13476^2 .

It is not a de Polignac number, because 213130801 - 223 = 204742193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213130501) 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 8 ways as a sum of consecutive naturals, for example, 189226 + ... + 190348.

It is an arithmetic number, because the mean of its divisors is an integer number (25665811).

Almost surely, 2213130801 is an apocalyptic number.

213130801 is the 14599-th square number.

213130801 is the 7300-th centered octagonal number.

It is an amenable number.

213130801 is a deficient number, since it is larger than the sum of its proper divisors (17861498).

213130801 is an frugal number, since it uses more digits than its factorization.

213130801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 213130801 is about 597.3314835541.

The spelling of 213130801 in words is "two hundred thirteen million, one hundred thirty thousand, eight hundred one".

Divisors: 1 13 169 1123 14599 189787 1261129 16394677 213130801