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231212020 = 225131078311
BaseRepresentation
bin11011100100000…
…00001111110100
3121010001210021011
431302000033310
5433142241040
634535402004
75505161344
oct1562001764
9533053234
10231212020
11109571016
1265523304
1338b94b60
14229c8d24
15154723ea
hexdc803f4

231212020 has 48 divisors (see below), whose sum is σ = 527845248. Its totient is φ = 84562560.

The previous prime is 231211961. The next prime is 231212057. The reversal of 231212020 is 20212132.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23665 + ... + 31975.

It is an arithmetic number, because the mean of its divisors is an integer number (10996776).

Almost surely, 2231212020 is an apocalyptic number.

231212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263922624).

231212020 is an abundant number, since it is smaller than the sum of its proper divisors (296633228).

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

231212020 is a wasteful number, since it uses less digits than its factorization.

231212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8440 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 231212020 is about 15205.6574997598. The cubic root of 231212020 is about 613.7669081666.

Adding to 231212020 its reverse (20212132), we get a palindrome (251424152).

The spelling of 231212020 in words is "two hundred thirty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 535 1070 1391 2140 2782 5564 6955 8311 13910 16622 27820 33244 41555 83110 108043 166220 216086 432172 540215 889277 1080430 1778554 2160860 3557108 4446385 8892770 11560601 17785540 23121202 46242404 57803005 115606010 231212020