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20100475242 = 2334717414549
BaseRepresentation
bin10010101110000101…
…001110100101101010
31220212211120221101000
4102232011032211222
5312131210201432
613122314535430
71311052135431
oct225605164552
956784527330
1020100475242
118585215611
123a8b737576
131b84456843
14d8979c118
157c99b657c
hex4ae14e96a

20100475242 has 64 divisors (see below), whose sum is σ = 45654336000. Its totient is φ = 6552394560.

The previous prime is 20100475201. The next prime is 20100475309. The reversal of 20100475242 is 24257400102.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 4416384 + ... + 4420932.

It is an arithmetic number, because the mean of its divisors is an integer number (713349000).

Almost surely, 220100475242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100475242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22827168000).

20100475242 is an abundant number, since it is smaller than the sum of its proper divisors (25553860758).

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

20100475242 is a wasteful number, since it uses less digits than its factorization.

20100475242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 20100475242 its reverse (24257400102), we get a palindrome (44357875344).

The spelling of 20100475242 in words is "twenty billion, one hundred million, four hundred seventy-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 1741 2538 3482 4549 5223 9098 10446 13647 15669 27294 31338 40941 47007 81827 81882 94014 122823 163654 213803 245481 245646 427606 490962 641409 736443 1282818 1472886 1924227 2209329 3848454 4418658 5772681 7919809 11545362 15839618 23759427 47518854 71278281 142556562 213834843 372231023 427669686 744462046 1116693069 2233386138 3350079207 6700158414 10050237621 20100475242