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231113100 = 223523747443
BaseRepresentation
bin11011100011010…
…00000110001100
3121002212202120110
431301220012030
5433131104400
634533320020
75504300061
oct1561500614
9532782513
10231113100
11109503769
1265496010
1338b5bb1a
14229a0c68
1515452e50
hexdc6818c

231113100 has 144 divisors (see below), whose sum is σ = 702955008. Its totient is φ = 58556160.

The previous prime is 231113087. The next prime is 231113101. The reversal of 231113100 is 1311132.

231113100 = 17562 + 17572 + ... + 18272.

It is a super-2 number, since 2×2311131002 = 106826529983220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (231113101) 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, 521479 + ... + 521921.

It is an arithmetic number, because the mean of its divisors is an integer number (4881632).

Almost surely, 2231113100 is an apocalyptic number.

231113100 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 231113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351477504).

231113100 is an abundant number, since it is smaller than the sum of its proper divisors (471841908).

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

231113100 is a wasteful number, since it uses less digits than its factorization.

231113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 231113100 is about 15202.4044150917. The cubic root of 231113100 is about 613.6793658853.

Adding to 231113100 its reverse (1311132), we get a palindrome (232424232).

The spelling of 231113100 in words is "two hundred thirty-one million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 47 50 60 74 75 94 100 111 141 148 150 185 188 222 235 282 300 370 443 444 470 555 564 705 740 886 925 940 1110 1175 1329 1410 1739 1772 1850 2215 2220 2350 2658 2775 2820 3478 3525 3700 4430 4700 5217 5316 5550 6645 6956 7050 8695 8860 10434 11075 11100 13290 14100 16391 17390 20821 20868 22150 26085 26580 32782 33225 34780 41642 43475 44300 49173 52170 62463 65564 66450 81955 83284 86950 98346 104105 104340 124926 130425 132900 163910 173900 196692 208210 245865 249852 260850 312315 327820 409775 416420 491730 520525 521700 624630 770377 819550 983460 1041050 1229325 1249260 1540754 1561575 1639100 2082100 2311131 2458650 3081508 3123150 3851885 4622262 4917300 6246300 7703770 9244524 11555655 15407540 19259425 23111310 38518850 46222620 57778275 77037700 115556550 231113100