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2201012020 = 225412684161
BaseRepresentation
bin1000001100110000…
…1100011100110100
312200101120222212201
42003030030130310
514001424341040
61002223154244
7105354202444
oct20314143464
95611528781
102201012020
11a2a4609a9
12515145984
13290cc719c
1416c462124
15cd36ba9a
hex8330c734

2201012020 has 24 divisors (see below), whose sum is σ = 4734861768. Its totient is φ = 858931200.

The previous prime is 2201012017. The next prime is 2201012027. The reversal of 2201012020 is 202101022.

It can be written as a sum of positive squares in 4 ways, for example, as 48608784 + 2152403236 = 6972^2 + 46394^2 .

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 = 2201011988 and 2201012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201012027) 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 7 ways as a sum of consecutive naturals, for example, 1341261 + ... + 1342900.

It is an arithmetic number, because the mean of its divisors is an integer number (197285907).

Almost surely, 22201012020 is an apocalyptic number.

2201012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201012020 is an abundant number, since it is smaller than the sum of its proper divisors (2533849748).

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

2201012020 is a wasteful number, since it uses less digits than its factorization.

2201012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684211 (or 2684209 counting only the distinct ones).

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

The square root of 2201012020 is about 46914.9445273039. The cubic root of 2201012020 is about 1300.7908442427.

Adding to 2201012020 its reverse (202101022), we get a palindrome (2403113042).

The spelling of 2201012020 in words is "two billion, two hundred one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2684161 5368322 10736644 13420805 26841610 53683220 110050601 220101202 440202404 550253005 1100506010 2201012020