Search a number
-
+
212973431 = 11211291559
BaseRepresentation
bin11001011000110…
…11011101110111
3112211202011121212
430230123131313
5414010122211
633044432035
75164146536
oct1454333567
9484664555
10212973431
11aa244100
125b3a861b
133517a3a8
14203dc31d
1513a6d38b
hexcb1b777

212973431 has 12 divisors (see below), whose sum is σ = 234452400. Its totient is φ = 193316640.

The previous prime is 212973407. The next prime is 212973457. The reversal of 212973431 is 134379212.

It is not a de Polignac number, because 212973431 - 222 = 208779127 is a prime.

It is a super-2 number, since 2×2129734312 = 90715364623823522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212973401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135830 + ... + 137388.

It is an arithmetic number, because the mean of its divisors is an integer number (19537700).

Almost surely, 2212973431 is an apocalyptic number.

212973431 is a deficient number, since it is larger than the sum of its proper divisors (21478969).

212973431 is a wasteful number, since it uses less digits than its factorization.

212973431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2699 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 212973431 is about 14593.6092519979. The cubic root of 212973431 is about 597.1844295684.

The spelling of 212973431 in words is "two hundred twelve million, nine hundred seventy-three thousand, four hundred thirty-one".

Divisors: 1 11 121 1129 1559 12419 17149 136609 188639 1760111 19361221 212973431