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211303131 = 31359131701
BaseRepresentation
bin11001001100000…
…11101011011011
3112201121022101220
430212003223123
5413043200011
632544543123
75144022054
oct1446035333
9481538356
10211303131
11a9303196
125a921aa3
1334a14050
14200c572b
151383d506
hexc983adb

211303131 has 32 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 126672000.

The previous prime is 211303129. The next prime is 211303153. The reversal of 211303131 is 131303112.

It is not a de Polignac number, because 211303131 - 21 = 211303129 is a prime.

It is a super-2 number, since 2×2113031312 = 89298026340806322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211303131.

It is not an unprimeable number, because it can be changed into a prime (211303111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301081 + ... + 301781.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2211303131 is an apocalyptic number.

211303131 is a deficient number, since it is larger than the sum of its proper divisors (100047909).

211303131 is a wasteful number, since it uses less digits than its factorization.

211303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 211303131 is about 14536.2695008038. The cubic root of 211303131 is about 595.6191384923.

Adding to 211303131 its reverse (131303112), we get a palindrome (342606243).

The spelling of 211303131 in words is "two hundred eleven million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 13 39 59 131 177 393 701 767 1703 2103 2301 5109 7729 9113 23187 27339 41359 91831 100477 124077 275493 301431 537667 1193803 1613001 3581409 5418029 16254087 70434377 211303131