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212020431 = 37471131901
BaseRepresentation
bin11001010001100…
…10110011001111
3112202221202100120
430220302303033
5413234123211
633012200023
75153100240
oct1450626317
9482852316
10212020431
11a97530a7
125b009013
1334c0569c
1420230cc7
1513930d06
hexca32ccf

212020431 has 32 divisors (see below), whose sum is σ = 333047808. Its totient is φ = 117465600.

The previous prime is 212020427. The next prime is 212020433. The reversal of 212020431 is 134020212.

It is not a de Polignac number, because 212020431 - 22 = 212020427 is a prime.

It is a super-2 number, since 2×2120204312 = 89905326322851522, 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 212020431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020433) 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, 110581 + ... + 112481.

It is an arithmetic number, because the mean of its divisors is an integer number (10407744).

Almost surely, 2212020431 is an apocalyptic number.

212020431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212020431 is a deficient number, since it is larger than the sum of its proper divisors (121027377).

212020431 is a wasteful number, since it uses less digits than its factorization.

212020431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212020431 is about 14560.9213650785. The cubic root of 212020431 is about 596.2923499667.

Adding to 212020431 its reverse (134020212), we get a palindrome (346040643).

The spelling of 212020431 in words is "two hundred twelve million, twenty thousand, four hundred thirty-one".

Divisors: 1 3 7 21 47 113 141 329 339 791 987 1901 2373 5311 5703 13307 15933 37177 39921 89347 111531 214813 268041 625429 644439 1503691 1876287 4511073 10096211 30288633 70673477 212020431