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2100420324 = 2232411997151
BaseRepresentation
bin111110100110001…
…1101111011100100
312102101022102000100
41331030131323210
513300201422244
6544231144100
7103023164262
oct17514357344
95371272010
102100420324
119886a5972
124a7515030
13276207282
1415cd59432
15c45ebb69
hex7d31dee4

2100420324 has 72 divisors (see below), whose sum is σ = 5466988800. Its totient is φ = 679536000.

The previous prime is 2100420277. The next prime is 2100420353. The reversal of 2100420324 is 4230240012.

2100420324 is a `hidden beast` number, since 210 + 0 + 420 + 32 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100420297 and 2100420306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290149 + ... + 297299.

It is an arithmetic number, because the mean of its divisors is an integer number (75930400).

Almost surely, 22100420324 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 2100420324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733494400).

2100420324 is an abundant number, since it is smaller than the sum of its proper divisors (3366568476).

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

2100420324 is a wasteful number, since it uses less digits than its factorization.

2100420324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2100420324 is about 45830.3428309237. The cubic root of 2100420324 is about 1280.6645970906.

Adding to 2100420324 its reverse (4230240012), we get a palindrome (6330660336).

It can be divided in two parts, 21004 and 20324, that added together give a triangular number (41328 = T287).

The spelling of 2100420324 in words is "two billion, one hundred million, four hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 199 246 369 398 492 597 738 796 1194 1476 1791 2388 3582 7151 7164 8159 14302 16318 21453 24477 28604 32636 42906 48954 64359 73431 85812 97908 128718 146862 257436 293191 293724 586382 879573 1172764 1423049 1759146 2638719 2846098 3518292 4269147 5277438 5692196 8538294 10554876 12807441 17076588 25614882 51229764 58345009 116690018 175035027 233380036 350070054 525105081 700140108 1050210162 2100420324