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20021431014 = 2331322193889
BaseRepresentation
bin10010101001010111…
…101100101011100110
31220200022212002002000
4102221113230223212
5312000441243024
613110412430130
71306102232664
oct225127545346
956608762060
1020021431014
118544637502
123a69178346
131b70c6c500
14d7d0a3c34
157c2aa0cc9
hex4a95ecae6

20021431014 has 48 divisors (see below), whose sum is σ = 48177824400. Its totient is φ = 6160437504.

The previous prime is 20021431007. The next prime is 20021431019. The reversal of 20021431014 is 41013412002.

20021431014 is a `hidden beast` number, since 200 + 21 + 431 + 0 + 14 = 666.

It is a super-2 number, since 2×200214310142 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021431019) by changing a digit.

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, 1087819 + ... + 1106070.

It is an arithmetic number, because the mean of its divisors is an integer number (1003704675).

Almost surely, 220021431014 is an apocalyptic number.

20021431014 is an abundant number, since it is smaller than the sum of its proper divisors (28156393386).

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

20021431014 is a wasteful number, since it uses less digits than its factorization.

20021431014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193926 (or 2193907 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20021431014 its reverse (41013412002), we get a palindrome (61034843016).

The spelling of 20021431014 in words is "twenty billion, twenty-one million, four hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126 2193889 4387778 6581667 13163334 19745001 28520557 39490002 57041114 59235003 85561671 118470006 171123342 256685013 370767241 513370026 741534482 770055039 1112301723 1540110078 2224603446 3336905169 6673810338 10010715507 20021431014