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2100124242 = 232361732257
BaseRepresentation
bin111110100101101…
…0101101001010010
312102100202100212100
41331023111221102
513300112433432
6544220541230
7103020522126
oct17513255122
95370670770
102100124242
11988513477
124a73b1816
13276132588
1415ccbd586
15c458e07c
hex7d2d5a52

2100124242 has 24 divisors (see below), whose sum is σ = 4551668316. Its totient is φ = 699826176.

The previous prime is 2100124237. The next prime is 2100124267. The reversal of 2100124242 is 2424210012.

It can be written as a sum of positive squares in 2 ways, for example, as 1646817561 + 453306681 = 40581^2 + 21291^2 .

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 11 ways as a sum of consecutive naturals, for example, 48978 + ... + 81234.

Almost surely, 22100124242 is an apocalyptic number.

2100124242 is an abundant number, since it is smaller than the sum of its proper divisors (2451544074).

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

2100124242 is a wasteful number, since it uses less digits than its factorization.

2100124242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35882 (or 35879 counting only the distinct ones).

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

The square root of 2100124242 is about 45827.1125208648. The cubic root of 2100124242 is about 1280.6044187302.

Adding to 2100124242 its reverse (2424210012), we get a palindrome (4524334254).

The spelling of 2100124242 in words is "two billion, one hundred million, one hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 3617 7234 10851 21702 32257 32553 64514 65106 96771 193542 290313 580626 116673569 233347138 350020707 700041414 1050062121 2100124242