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10020201220 = 2252917276209
BaseRepresentation
bin10010101010100000…
…00010001100000100
3221212022202221222201
421111100002030010
5131010132414340
64334143404244
7503211206431
oct112520021404
927768687881
1010020201220
114282162537
121b378b3684
13c38c41363
146b0b00b88
153d9a4d79a
hex255402304

10020201220 has 24 divisors (see below), whose sum is σ = 21768024600. Its totient is φ = 3869870592.

The previous prime is 10020201203. The next prime is 10020201223. The reversal of 10020201220 is 2210202001.

It can be written as a sum of positive squares in 4 ways, for example, as 42588676 + 9977612544 = 6526^2 + 99888^2 .

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 = 10020201197 and 10020201206.

It is not an unprimeable number, because it can be changed into a prime (10020201223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8637525 + ... + 8638684.

It is an arithmetic number, because the mean of its divisors is an integer number (907001025).

Almost surely, 210020201220 is an apocalyptic number.

10020201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020201220 is an abundant number, since it is smaller than the sum of its proper divisors (11747823380).

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

10020201220 is a wasteful number, since it uses less digits than its factorization.

10020201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17276247 (or 17276245 counting only the distinct ones).

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

Adding to 10020201220 its reverse (2210202001), we get a palindrome (12230403221).

The spelling of 10020201220 in words is "ten billion, twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 17276209 34552418 69104836 86381045 172762090 345524180 501010061 1002020122 2004040244 2505050305 5010100610 10020201220