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20201221220 = 22559107193829
BaseRepresentation
bin10010110100000101…
…100010110001100100
31221010212011100212112
4102310011202301210
5312333003034340
613140314140152
71313414355455
oct226405426144
957125140775
1020201221220
118627076554
123ab9421658
131b9c29ba4b
14d98d0512c
157d3767065
hex4b4162c64

20201221220 has 96 divisors (see below), whose sum is σ = 43823203200. Its totient is φ = 7819075584.

The previous prime is 20201221213. The next prime is 20201221231. The reversal of 20201221220 is 2212210202.

It is a junction number, because it is equal to n+sod(n) for n = 20201221195 and 20201221204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24367766 + ... + 24368594.

It is an arithmetic number, because the mean of its divisors is an integer number (456491700).

Almost surely, 220201221220 is an apocalyptic number.

20201221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201221220 is an abundant number, since it is smaller than the sum of its proper divisors (23621981980).

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

20201221220 is a wasteful number, since it uses less digits than its factorization.

20201221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20201221220 its reverse (2212210202), we get a palindrome (22413431422).

The spelling of 20201221220 in words is "twenty billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 59 107 118 193 214 236 295 386 428 535 590 772 829 965 1070 1180 1658 1930 2140 3316 3860 4145 6313 8290 11387 12626 16580 20651 22774 25252 31565 41302 45548 48911 56935 63130 82604 88703 97822 103255 113870 126260 159997 177406 195644 206510 227740 244555 319994 354812 413020 443515 489110 639988 799985 887030 978220 1218409 1599970 1774060 2436818 3199940 4873636 5233477 6092045 9439823 10466954 12184090 17119679 18879646 20933908 24368180 26167385 34239358 37759292 47199115 52334770 68478716 85598395 94398230 104669540 171196790 188796460 342393580 1010061061 2020122122 4040244244 5050305305 10100610610 20201221220