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20130022420 = 225372735209
BaseRepresentation
bin10010101111110101…
…111100010000010100
31220221220012002110221
4102233311330100110
5312211241204140
613125252124124
71311561240004
oct225765742024
956856162427
1020130022420
11859a966872
123a99606644
131b8a600691
14d8d690004
157cc3a114a
hex4afd7c414

20130022420 has 36 divisors (see below), whose sum is σ = 43446499740. Its totient is φ = 7834376448.

The previous prime is 20130022417. The next prime is 20130022427. The reversal of 20130022420 is 2422003102.

It can be written as a sum of positive squares in 6 ways, for example, as 1706846596 + 18423175824 = 41314^2 + 135732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20130022394 and 20130022403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130022427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340225 + ... + 394984.

It is an arithmetic number, because the mean of its divisors is an integer number (1206847215).

Almost surely, 220130022420 is an apocalyptic number.

20130022420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130022420 is an abundant number, since it is smaller than the sum of its proper divisors (23316477320).

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

20130022420 is a wasteful number, since it uses less digits than its factorization.

20130022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735292 (or 735253 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20130022420 its reverse (2422003102), we get a palindrome (22552025522).

The spelling of 20130022420 in words is "twenty billion, one hundred thirty million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1369 2738 5476 6845 13690 27380 735209 1470418 2940836 3676045 7352090 14704180 27202733 54405466 108810932 136013665 272027330 544054660 1006501121 2013002242 4026004484 5032505605 10065011210 20130022420