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331210020 = 223530717981
BaseRepresentation
bin10011101111011…
…101110100100100
3212002020012201210
4103233131310210
51134242210040
652510551420
711131144611
oct2357356444
9762205653
10331210020
1115aa60a99
1292b08570
135380777b
1431db9508
151e126480
hex13bddd24

331210020 has 48 divisors (see below), whose sum is σ = 930460608. Its totient is φ = 88030080.

The previous prime is 331210001. The next prime is 331210021. The reversal of 331210020 is 20012133.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 331209978 and 331210005.

It is not an unprimeable number, because it can be changed into a prime (331210021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9430 + ... + 27410.

It is an arithmetic number, because the mean of its divisors is an integer number (19384596).

Almost surely, 2331210020 is an apocalyptic number.

331210020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331210020 is an abundant number, since it is smaller than the sum of its proper divisors (599250588).

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

331210020 is a wasteful number, since it uses less digits than its factorization.

331210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18300 (or 18298 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 331210020 is about 18199.1763549893. The cubic root of 331210020 is about 691.8859140111.

Adding to 331210020 its reverse (20012133), we get a palindrome (351222153).

The spelling of 331210020 in words is "three hundred thirty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 307 614 921 1228 1535 1842 3070 3684 4605 6140 9210 17981 18420 35962 53943 71924 89905 107886 179810 215772 269715 359620 539430 1078860 5520167 11040334 16560501 22080668 27600835 33121002 55201670 66242004 82802505 110403340 165605010 331210020