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20201214042 = 23223433112691
BaseRepresentation
bin10010110100000101…
…100001000001011010
31221010212011000000200
4102310011201001122
5312333002322132
613140314043030
71313414325522
oct226405410132
957125130020
1020201214042
118627071119
123ab9419476
131b9c2986b9
14d98d02682
157d3764d7c
hex4b416105a

20201214042 has 48 divisors (see below), whose sum is σ = 45778195008. Its totient is φ = 6426034560.

The previous prime is 20201214041. The next prime is 20201214049. The reversal of 20201214042 is 24041210202.

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

It is not an unprimeable number, because it can be changed into a prime (20201214041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122917 + ... + 235607.

It is an arithmetic number, because the mean of its divisors is an integer number (953712396).

Almost surely, 220201214042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201214042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22889097504).

20201214042 is an abundant number, since it is smaller than the sum of its proper divisors (25576980966).

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

20201214042 is a wasteful number, since it uses less digits than its factorization.

20201214042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113155 (or 113152 counting only the distinct ones).

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

Adding to 20201214042 its reverse (24041210202), we get a palindrome (44242424244).

The spelling of 20201214042 in words is "twenty billion, two hundred one million, two hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 433 866 1299 2598 3897 7794 9959 19918 29877 59754 89631 112691 179262 225382 338073 676146 1014219 2028438 2591893 5183786 7775679 15551358 23327037 46654074 48795203 97590406 146385609 292771218 439156827 878313654 1122289669 2244579338 3366869007 6733738014 10100607021 20201214042