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331012100 = 225217194713
BaseRepresentation
bin10011101110101…
…101100000000100
3212001212011020102
4103232231200010
51134214341400
652502423232
711126361566
oct2356554004
9761764212
10331012100
1115a936321
1292a31b18
1353768663
1431d67336
151e0d79d5
hex13bad804

331012100 has 36 divisors (see below), whose sum is σ = 760552884. Its totient is φ = 124615680.

The previous prime is 331012043. The next prime is 331012163. The reversal of 331012100 is 1210133.

331012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3474496 + 327537604 = 1864^2 + 18098^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95657 + ... + 99056.

It is an arithmetic number, because the mean of its divisors is an integer number (21126469).

Almost surely, 2331012100 is an apocalyptic number.

It is an amenable number.

331012100 is an abundant number, since it is smaller than the sum of its proper divisors (429540784).

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

331012100 is a wasteful number, since it uses less digits than its factorization.

331012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194744 (or 194737 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 331012100 is about 18193.7379336958. The cubic root of 331012100 is about 691.7480706112.

Adding to 331012100 its reverse (1210133), we get a palindrome (332222233).

The spelling of 331012100 in words is "three hundred thirty-one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 194713 389426 778852 973565 1947130 3310121 3894260 4867825 6620242 9735650 13240484 16550605 19471300 33101210 66202420 82753025 165506050 331012100