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331243100 = 225241173467
BaseRepresentation
bin10011101111100…
…101111001011100
3212002021220002222
4103233211321130
51134244234400
652511404512
711131343216
oct2357457134
9762256088
10331243100
1115aa83931
1292b23738
1353819846
1431dc75b6
151e131185
hex13be5e5c

331243100 has 72 divisors (see below), whose sum is σ = 742171248. Its totient is φ = 128243200.

The previous prime is 331243097. The next prime is 331243183. The reversal of 331243100 is 1342133.

It is a happy number.

It is a super-2 number, since 2×3312431002 = 219443982595220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709067 + ... + 709533.

It is an arithmetic number, because the mean of its divisors is an integer number (10307934).

Almost surely, 2331243100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371085624).

331243100 is an abundant number, since it is smaller than the sum of its proper divisors (410928148).

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

331243100 is a wasteful number, since it uses less digits than its factorization.

331243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 331243100 is about 18200.0851646359. The cubic root of 331243100 is about 691.9089475575.

Adding to 331243100 its reverse (1342133), we get a palindrome (332585233).

The spelling of 331243100 in words is "three hundred thirty-one million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 173 205 346 410 467 692 820 865 934 1025 1730 1868 2050 2335 3460 4100 4325 4670 7093 8650 9340 11675 14186 17300 19147 23350 28372 35465 38294 46700 70930 76588 80791 95735 141860 161582 177325 191470 323164 354650 382940 403955 478675 709300 807910 957350 1615820 1914700 2019775 3312431 4039550 6624862 8079100 13249724 16562155 33124310 66248620 82810775 165621550 331243100