Search a number
-
+
21001023302020 = 2253613627746301
BaseRepresentation
bin1001100011001101011101…
…00010001010100110000100
32202100200022102102001121121
410301212232202022212010
510223040043431131040
6112355423101323324
74265162635502506
oct461465642124604
982320272361547
1021001023302020
116767536181983
122432180266544
13b94507587b18
14528652559d76
15266441382c4a
hex1319ae88a984

21001023302020 has 48 divisors (see below), whose sum is σ = 44122336313328. Its totient is φ = 8396565004800.

The previous prime is 21001023301931. The next prime is 21001023302071. The reversal of 21001023302020 is 2020332010012.

It can be written as a sum of positive squares in 8 ways, for example, as 1099717158276 + 19901306143744 = 1048674^2 + 4461088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21001023301985 and 21001023302003.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 453552870 + ... + 453599170.

It is an arithmetic number, because the mean of its divisors is an integer number (919215339861).

Almost surely, 221001023302020 is an apocalyptic number.

21001023302020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001023302020 is an abundant number, since it is smaller than the sum of its proper divisors (23121313011308).

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

21001023302020 is a wasteful number, since it uses less digits than its factorization.

21001023302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56200 (or 56198 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21001023302020 its reverse (2020332010012), we get a palindrome (23021355312032).

The spelling of 21001023302020 in words is "twenty-one trillion, one billion, twenty-three million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 3613 6277 7226 12554 14452 18065 25108 31385 36130 46301 62770 72260 92602 125540 185204 231505 463010 926020 22678801 45357602 90715204 113394005 167285513 226788010 290631377 334571026 453576020 581262754 669142052 836427565 1162525508 1453156885 1672855130 2906313770 3345710260 5812627540 1050051165101 2100102330202 4200204660404 5250255825505 10500511651010 21001023302020