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10201002020 = 22511101459091
BaseRepresentation
bin10011000000000011…
…01111000000100100
3222022220222121001122
421200001233000210
5131342424031040
64404122513112
7510535041446
oct114001570044
928286877048
1010201002020
114365221890
121b88365798
13c67535891
146cab26496
153ea8641b5
hex26006f024

10201002020 has 48 divisors (see below), whose sum is σ = 23601001536. Its totient is φ = 3672720000.

The previous prime is 10201001999. The next prime is 10201002023. The reversal of 10201002020 is 2020010201.

It is a junction number, because it is equal to n+sod(n) for n = 10201001989 and 10201002007.

It is not an unprimeable number, because it can be changed into a prime (10201002023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207326 + ... + 251765.

It is an arithmetic number, because the mean of its divisors is an integer number (491687532).

Almost surely, 210201002020 is an apocalyptic number.

10201002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201002020 is an abundant number, since it is smaller than the sum of its proper divisors (13399999516).

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

10201002020 is a wasteful number, since it uses less digits than its factorization.

10201002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459212 (or 459210 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10201002020 its reverse (2020010201), we get a palindrome (12221012221).

The spelling of 10201002020 in words is "ten billion, two hundred one million, two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 459091 918182 1836364 2295455 4590910 5050001 9181820 10100002 20200004 25250005 46368191 50500010 92736382 101000020 185472764 231840955 463681910 510050101 927363820 1020100202 2040200404 2550250505 5100501010 10201002020