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20013213220 = 225711132131587
BaseRepresentation
bin10010101000111000…
…010110011000100100
31220122202101120101021
4102220320112120210
5311441340310340
613105520340524
71305642335260
oct225070263044
956582346337
1020013213220
11853aa34340
123a66474744
131b6c352c00
14d7bd650a0
157c1ecae4a
hex4a8e16624

20013213220 has 288 divisors, whose sum is σ = 57269431296. Its totient is φ = 5704358400.

The previous prime is 20013213203. The next prime is 20013213239. The reversal of 20013213220 is 2231231002.

It is a junction number, because it is equal to n+sod(n) for n = 20013213194 and 20013213203.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34093767 + ... + 34094353.

It is an arithmetic number, because the mean of its divisors is an integer number (198852192).

Almost surely, 220013213220 is an apocalyptic number.

20013213220 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 20013213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28634715648).

20013213220 is an abundant number, since it is smaller than the sum of its proper divisors (37256218076).

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

20013213220 is a wasteful number, since it uses less digits than its factorization.

20013213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20013213220 its reverse (2231231002), we get a palindrome (22244444222).

The spelling of 20013213220 in words is "twenty billion, thirteen million, two hundred thirteen thousand, two hundred twenty".