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231123420 = 22325111131033
BaseRepresentation
bin11011100011010…
…10100111011100
3121002220021201200
431301222213130
5433131422140
634533435500
75504342133
oct1561524734
9532807650
10231123420
111095104a0
126549bb90
1338b63728
14229a491a
1515456030
hexdc6a9dc

231123420 has 144 divisors (see below), whose sum is σ = 772323552. Its totient is φ = 55480320.

The previous prime is 231123419. The next prime is 231123421. The reversal of 231123420 is 24321132.

231123420 is a `hidden beast` number, since 231 + 12 + 3 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (231123419) and next prime (231123421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231123393 and 231123402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231123421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223224 + ... + 224256.

It is an arithmetic number, because the mean of its divisors is an integer number (5363358).

Almost surely, 2231123420 is an apocalyptic number.

231123420 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 231123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386161776).

231123420 is an abundant number, since it is smaller than the sum of its proper divisors (541200132).

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

231123420 is a wasteful number, since it uses less digits than its factorization.

231123420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231123420 is about 15202.7438312957. The cubic root of 231123420 is about 613.6885000521.

Adding to 231123420 its reverse (24321132), we get a palindrome (255444552).

The spelling of 231123420 in words is "two hundred thirty-one million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 113 132 165 180 198 220 226 330 339 396 452 495 565 660 678 990 1017 1033 1130 1243 1356 1695 1980 2034 2066 2260 2486 3099 3390 3729 4068 4132 4972 5085 5165 6198 6215 6780 7458 9297 10170 10330 11187 11363 12396 12430 14916 15495 18594 18645 20340 20660 22374 22726 24860 30990 34089 37188 37290 44748 45452 46485 55935 56815 61980 68178 74580 92970 102267 111870 113630 116729 136356 170445 185940 204534 223740 227260 233458 340890 350187 409068 466916 511335 583645 681780 700374 1022670 1050561 1167290 1284019 1400748 1750935 2045340 2101122 2334580 2568038 3501870 3852057 4202244 5136076 5252805 6420095 7003740 7704114 10505610 11556171 12840190 15408228 19260285 21011220 23112342 25680380 38520570 46224684 57780855 77041140 115561710 231123420