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2021120020 = 225315361507
BaseRepresentation
bin111100001110111…
…1101100000010100
312012212002112110001
41320131331200110
513114401320040
6532315341044
7101041144123
oct17035754024
95185075401
102021120020
11947962427
12484a51784
1326296050a
141525d5aba
15bc68559a
hex7877d814

2021120020 has 48 divisors (see below), whose sum is σ = 4464004608. Its totient is φ = 767594880.

The previous prime is 2021119999. The next prime is 2021120047. The reversal of 2021120020 is 200211202.

It is a super-2 number, since 2×20211200202 = 8169852270489600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2021119979 and 2021120006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107 + ... + 63613.

It is an arithmetic number, because the mean of its divisors is an integer number (93000096).

Almost surely, 22021120020 is an apocalyptic number.

2021120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232002304).

2021120020 is an abundant number, since it is smaller than the sum of its proper divisors (2442884588).

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

2021120020 is a wasteful number, since it uses less digits than its factorization.

2021120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61600 (or 61598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2021120020 is about 44956.8684407622. The cubic root of 2021120020 is about 1264.3404561795.

Adding to 2021120020 its reverse (200211202), we get a palindrome (2221331222).

The spelling of 2021120020 in words is "two billion, twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 1060 1643 3286 6572 8215 16430 32860 61507 123014 246028 307535 615070 1230140 1906717 3259871 3813434 6519742 7626868 9533585 13039484 16299355 19067170 32598710 38134340 65197420 101056001 202112002 404224004 505280005 1010560010 2021120020