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213123131 = 1322437309
BaseRepresentation
bin11001011010000…
…00000000111011
3112212000202222022
430231000000323
5414024420011
633051545055
75165342144
oct1455000073
9485022868
10213123131
11aa336621
125b45b18b
1335200580
142043aacb
1513a9c8db
hexcb4003b

213123131 has 8 divisors (see below), whose sum is σ = 229650960. Its totient is φ = 196614432.

The previous prime is 213123121. The next prime is 213123137. The reversal of 213123131 is 131321312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213123131 is a prime.

It is a super-2 number, since 2×2131231312 = 90842937934486322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213123137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25505 + ... + 32813.

It is an arithmetic number, because the mean of its divisors is an integer number (28706370).

Almost surely, 2213123131 is an apocalyptic number.

213123131 is a deficient number, since it is larger than the sum of its proper divisors (16527829).

213123131 is a wasteful number, since it uses less digits than its factorization.

213123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9565.

The product of its digits is 108, while the sum is 17.

The square root of 213123131 is about 14598.7373084113. The cubic root of 213123131 is about 597.3243180210.

Adding to 213123131 its reverse (131321312), we get a palindrome (344444443).

It can be divided in two parts, 213 and 123131, that multiplied together give a triangular number (26226903 = T7242).

The spelling of 213123131 in words is "two hundred thirteen million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 13 2243 7309 29159 95017 16394087 213123131