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20120021020 = 22511412718231
BaseRepresentation
bin10010101111001111…
…110010100000011100
31220221012100222010201
4102233033302200130
5312201211133040
613124253513244
71311410233261
oct225717624034
956835328121
1020120021020
118595255650
123a961a2824
131b8850b2a8
14d8c209268
157cb577a9a
hex4af3f281c

20120021020 has 96 divisors (see below), whose sum is σ = 47397353472. Its totient is φ = 7110720000.

The previous prime is 20120020993. The next prime is 20120021023. The reversal of 20120021020 is 2012002102.

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 = 20120020988 and 20120021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120021023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2440305 + ... + 2448535.

It is an arithmetic number, because the mean of its divisors is an integer number (493722432).

Almost surely, 220120021020 is an apocalyptic number.

20120021020 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 20120021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23698676736).

20120021020 is an abundant number, since it is smaller than the sum of its proper divisors (27277332452).

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

20120021020 is a wasteful number, since it uses less digits than its factorization.

20120021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8563 (or 8561 counting only the distinct ones).

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

20120021020 divided by its sum of digits (10) gives a palindrome (2012002102).

Adding to 20120021020 its reverse (2012002102), we get a palindrome (22132023122).

The spelling of 20120021020 in words is "twenty billion, one hundred twenty million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 271 410 451 542 820 902 1084 1355 1804 2255 2710 2981 4510 5420 5962 8231 9020 11111 11924 14905 16462 22222 29810 32924 41155 44444 55555 59620 82310 90541 111110 122221 164620 181082 222220 244442 337471 362164 452705 488884 611105 674942 905410 1222210 1349884 1687355 1810820 2230601 2444420 3374710 3712181 4461202 6749420 7424362 8922404 11153005 14848724 18560905 22306010 24536611 37121810 44612020 49073222 74243620 91454641 98146444 122683055 182909282 245366110 365818564 457273205 490732220 914546410 1006001051 1829092820 2012002102 4024004204 5030005255 10060010510 20120021020