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331241124 = 2231723227311
BaseRepresentation
bin10011101111100…
…101011010100100
3212002021210101210
4103233211122210
51134244203444
652511351420
711131334364
oct2357453244
9762253353
10331241124
1115aa823a5
1292b22570
1353818986
1431dc69a4
151e1307b9
hex13be56a4

331241124 has 96 divisors (see below), whose sum is σ = 860461056. Its totient is φ = 98644480.

The previous prime is 331241123. The next prime is 331241191. The reversal of 331241124 is 421142133.

331241124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 331241124.

It is not an unprimeable number, because it can be changed into a prime (331241123) 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, 1064929 + ... + 1065239.

It is an arithmetic number, because the mean of its divisors is an integer number (8963136).

Almost surely, 2331241124 is an apocalyptic number.

331241124 is a gapful number since it is divisible by the number (34) 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 331241124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430230528).

331241124 is an abundant number, since it is smaller than the sum of its proper divisors (529219932).

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

331241124 is a wasteful number, since it uses less digits than its factorization.

331241124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 583 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 331241124 is about 18200.0308790947. The cubic root of 331241124 is about 691.9075717152.

Adding to 331241124 its reverse (421142133), we get a palindrome (752383257).

The spelling of 331241124 in words is "three hundred thirty-one million, two hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 227 276 311 391 454 622 681 782 908 933 1173 1244 1362 1564 1866 2346 2724 3732 3859 4692 5221 5287 7153 7718 10442 10574 11577 14306 15436 15663 15861 20884 21148 21459 23154 28612 31326 31722 42918 46308 62652 63444 70597 85836 88757 121601 141194 177514 211791 243202 266271 282388 355028 364803 423582 486404 532542 729606 847164 1065084 1200149 1459212 1623731 2400298 3247462 3600447 4800596 4871193 6494924 7200894 9742386 14401788 19484772 27603427 55206854 82810281 110413708 165620562 331241124