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213131320 = 23544911867
BaseRepresentation
bin11001011010000…
…10000000111000
3112212001012012121
430231002000320
5414030200240
633052051024
75165405053
oct1455020070
9485035177
10213131320
11aa341796
125b463a74
133520420c
142043da9a
1513aa004a
hexcb42038

213131320 has 32 divisors (see below), whose sum is σ = 480654000. Its totient is φ = 85055488.

The previous prime is 213131309. The next prime is 213131327. The reversal of 213131320 is 23131312.

It is a junction number, because it is equal to n+sod(n) for n = 213131294 and 213131303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12027 + ... + 23893.

Almost surely, 2213131320 is an apocalyptic number.

213131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213131320 is an abundant number, since it is smaller than the sum of its proper divisors (267522680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213131320 is a wasteful number, since it uses less digits than its factorization.

213131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12327 (or 12323 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 213131320 is about 14599.0177751793. The cubic root of 213131320 is about 597.3319684125.

Adding to 213131320 its reverse (23131312), we get a palindrome (236262632).

The spelling of 213131320 in words is "two hundred thirteen million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 449 898 1796 2245 3592 4490 8980 11867 17960 23734 47468 59335 94936 118670 237340 474680 5328283 10656566 21313132 26641415 42626264 53282830 106565660 213131320