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20012201020 = 22577313714293
BaseRepresentation
bin10010101000110100…
…011111010000111100
31220122200111010220101
4102220310133100330
5311441110413040
613105442530444
71305630621250
oct225064372074
956580433811
1020012201020
11853a402909
123a66066a24
131b6c08a286
14d7bb80260
157c1d7b09a
hex4a8d1f43c

20012201020 has 96 divisors (see below), whose sum is σ = 49046030208. Its totient is φ = 6717468672.

The previous prime is 20012200979. The next prime is 20012201023. The reversal of 20012201020 is 2010221002.

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 = 20012200988 and 20012201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012201023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392994 + ... + 1407286.

It is an arithmetic number, because the mean of its divisors is an integer number (510896148).

Almost surely, 220012201020 is an apocalyptic number.

20012201020 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 20012201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24523015104).

20012201020 is an abundant number, since it is smaller than the sum of its proper divisors (29033829188).

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

20012201020 is a wasteful number, since it uses less digits than its factorization.

20012201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14519 (or 14517 counting only the distinct ones).

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

Adding to 20012201020 its reverse (2010221002), we get a palindrome (22022422022).

The spelling of 20012201020 in words is "twenty billion, twelve million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 137 140 146 274 292 365 511 548 685 730 959 1022 1370 1460 1918 2044 2555 2740 3836 4795 5110 9590 10001 10220 14293 19180 20002 28586 40004 50005 57172 70007 71465 100010 100051 140014 142930 200020 200102 280028 285860 350035 400204 500255 700070 1000510 1043389 1400140 1958141 2001020 2086778 3916282 4173556 5216945 7303723 7832564 9790705 10433890 13706987 14607446 19581410 20867780 27413974 29214892 36518615 39162820 54827948 68534935 73037230 137069870 142944293 146074460 274139740 285888586 571777172 714721465 1000610051 1429442930 2001220102 2858885860 4002440204 5003050255 10006100510 20012201020