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20012121220 = 22571329713701
BaseRepresentation
bin10010101000110100…
…001011110010000100
31220122200100002102211
4102220310023302010
5311441100334340
613105441113204
71305630136510
oct225064136204
956580302384
1020012121220
11853a358963
123a66028804
131b6c05cb60
14d7bb5d140
157c1d625ea
hex4a8d0bc84

20012121220 has 96 divisors (see below), whose sum is σ = 51755026176. Its totient is φ = 6329664000.

The previous prime is 20012121209. The next prime is 20012121223. The reversal of 20012121220 is 2212121002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 20012121220.

It is not an unprimeable number, because it can be changed into a prime (20012121223) 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, 5405370 + ... + 5409070.

It is an arithmetic number, because the mean of its divisors is an integer number (539114856).

Almost surely, 220012121220 is an apocalyptic number.

20012121220 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 20012121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25877513088).

20012121220 is an abundant number, since it is smaller than the sum of its proper divisors (31742904956).

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

20012121220 is a wasteful number, since it uses less digits than its factorization.

20012121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6701 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20012121220 its reverse (2212121002), we get a palindrome (22224242222).

The spelling of 20012121220 in words is "twenty billion, twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 2971 3701 5942 7402 11884 14804 14855 18505 20797 25907 29710 37010 38623 41594 48113 51814 59420 74020 77246 83188 96226 103628 103985 129535 154492 192452 193115 207970 240565 259070 270361 336791 386230 415940 481130 518140 540722 673582 772460 962260 1081444 1347164 1351805 1683955 2703610 3367910 5407220 6735820 10995671 21991342 43982684 54978355 76969697 109956710 142943723 153939394 219913420 285887446 307878788 384848485 571774892 714718615 769696970 1000606061 1429437230 1539393940 2001212122 2858874460 4002424244 5003030305 10006060610 20012121220