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2100142422 = 232737450481
BaseRepresentation
bin111110100101101…
…1010000101010110
312102100210021210200
41331023122011112
513300114024142
6544221201330
7103020626130
oct17513320526
95370707720
102100142422
119885260a4
124a7400246
1327613a931
1415ccc6050
15c459464c
hex7d2da156

2100142422 has 48 divisors (see below), whose sum is σ = 5340914592. Its totient is φ = 583822080.

The previous prime is 2100142411. The next prime is 2100142427. The reversal of 2100142422 is 2242410012.

2100142422 is a `hidden beast` number, since 2 + 100 + 142 + 422 = 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 = 2100142395 and 2100142404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100142427) 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 23 ways as a sum of consecutive naturals, for example, 220579 + ... + 229902.

It is an arithmetic number, because the mean of its divisors is an integer number (111269054).

Almost surely, 22100142422 is an apocalyptic number.

2100142422 is an abundant number, since it is smaller than the sum of its proper divisors (3240772170).

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

2100142422 is a wasteful number, since it uses less digits than its factorization.

2100142422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450533 (or 450530 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2100142422 is about 45827.3108746302. The cubic root of 2100142422 is about 1280.6081139594.

Adding to 2100142422 its reverse (2242410012), we get a palindrome (4342552434).

The spelling of 2100142422 in words is "two billion, one hundred million, one hundred forty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 450481 900962 1351443 2702886 3153367 4054329 6306734 8108658 9460101 16667797 18920202 28380303 33335594 50003391 56760606 100006782 116674579 150010173 233349158 300020346 350023737 700047474 1050071211 2100142422