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3241212100 = 225276769109
BaseRepresentation
bin1100000100110000…
…1111100011000100
322100212220122010121
43001030033203010
523114222241400
61253342231324
7143214563650
oct30114174304
98325818117
103241212100
111413641695
12765585544
133c866aca9
1422a675a60
1513e83e21a
hexc130f8c4

3241212100 has 72 divisors (see below), whose sum is σ = 8158297280. Its totient is φ = 1094670720.

The previous prime is 3241212089. The next prime is 3241212101. The reversal of 3241212100 is 12121423.

It is not an unprimeable number, because it can be changed into a prime (3241212101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12346 + ... + 81454.

Almost surely, 23241212100 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 3241212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079148640).

3241212100 is an abundant number, since it is smaller than the sum of its proper divisors (4917085180).

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

3241212100 is a wasteful number, since it uses less digits than its factorization.

3241212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69197 (or 69190 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3241212100 is about 56931.6441006230. The cubic root of 3241212100 is about 1479.9117460157.

Adding to 3241212100 its reverse (12121423), we get a palindrome (3253333523).

The spelling of 3241212100 in words is "three billion, two hundred forty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 670 700 938 1340 1675 1876 2345 3350 4690 6700 9380 11725 23450 46900 69109 138218 276436 345545 483763 691090 967526 1382180 1727725 1935052 2418815 3455450 4630303 4837630 6910900 9260606 9675260 12094075 18521212 23151515 24188150 32412121 46303030 48376300 64824242 92606060 115757575 129648484 162060605 231515150 324121210 463030300 648242420 810303025 1620606050 3241212100