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2103211332 = 22348972937
BaseRepresentation
bin111110101011100…
…0111010101000100
312102120120012120000
41331113013111010
513301410230312
6544411041300
7103056000315
oct17527072504
95376505500
102103211332
1198a231892
124a8440230
13276973761
1415d48460c
15c499dadc
hex7d5c7544

2103211332 has 60 divisors (see below), whose sum is σ = 5560063740. Its totient is φ = 693183744.

The previous prime is 2103211303. The next prime is 2103211351. The reversal of 2103211332 is 2331123012.

2103211332 is a `hidden beast` number, since 2 + 10 + 321 + 1 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1337803776 + 765407556 = 36576^2 + 27666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 19 ways as a sum of consecutive naturals, for example, 7633 + ... + 65304.

It is an arithmetic number, because the mean of its divisors is an integer number (92667729).

Almost surely, 22103211332 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 2103211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780031870).

2103211332 is an abundant number, since it is smaller than the sum of its proper divisors (3456852408).

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

2103211332 is a wasteful number, since it uses less digits than its factorization.

2103211332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73042 (or 73031 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2103211332 is about 45860.7820692147. The cubic root of 2103211332 is about 1281.2315888625.

Adding to 2103211332 its reverse (2331123012), we get a palindrome (4434334344).

The spelling of 2103211332 in words is "two billion, one hundred three million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 324 356 534 801 1068 1602 2403 3204 4806 7209 9612 14418 28836 72937 145874 218811 291748 437622 656433 875244 1312866 1969299 2625732 3938598 5907897 6491393 7877196 11815794 12982786 19474179 23631588 25965572 38948358 58422537 77896716 116845074 175267611 233690148 350535222 525802833 701070444 1051605666 2103211332