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331144100 = 225273671289
BaseRepresentation
bin10011101111001…
…101101110100100
3212002002212022022
4103233031232210
51134233102400
652505322312
711130451460
oct2357155644
9762085268
10331144100
1115aa16511
1292a96398
13537b3771
1431d9d4a0
151e111b85
hex13bcdba4

331144100 has 72 divisors (see below), whose sum is σ = 824113920. Its totient is φ = 113137920.

The previous prime is 331144097. The next prime is 331144123. The reversal of 331144100 is 1441133.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256256 + ... + 257544.

Almost surely, 2331144100 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 331144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412056960).

331144100 is an abundant number, since it is smaller than the sum of its proper divisors (492969820).

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

331144100 is a wasteful number, since it uses less digits than its factorization.

331144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 331144100 is about 18197.3651938955. The cubic root of 331144100 is about 691.8400094563.

Adding to 331144100 its reverse (1441133), we get a palindrome (332585233).

The spelling of 331144100 in words is "three hundred thirty-one million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 367 700 734 1289 1468 1835 2569 2578 3670 5138 5156 6445 7340 9023 9175 10276 12845 12890 18046 18350 25690 25780 32225 36092 36700 45115 51380 64225 64450 90230 128450 128900 180460 225575 256900 451150 473063 902300 946126 1892252 2365315 3311441 4730630 6622882 9461260 11826575 13245764 16557205 23653150 33114410 47306300 66228820 82786025 165572050 331144100