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20102201020 = 22511192329091
BaseRepresentation
bin10010101110001011…
…110011111010111100
31220212221211121200201
4102232023303322330
5312132130413040
613122415533244
71311102614026
oct225613637274
956787747621
1020102201020
118586194180
123a9022a224
131b8490c205
14d89acb016
157c9c07a9a
hex4ae2f3ebc

20102201020 has 144 divisors (see below), whose sum is σ = 50680990080. Its totient is φ = 6623337600.

The previous prime is 20102200991. The next prime is 20102201027. The reversal of 20102201020 is 2010220102.

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 = 20102200988 and 20102201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102201027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2206675 + ... + 2215765.

It is an arithmetic number, because the mean of its divisors is an integer number (351951320).

Almost surely, 220102201020 is an apocalyptic number.

20102201020 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 20102201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25340495040).

20102201020 is an abundant number, since it is smaller than the sum of its proper divisors (30578789060).

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

20102201020 is a wasteful number, since it uses less digits than its factorization.

20102201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176 (or 9151 counting only the distinct ones).

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

20102201020 divided by its sum of digits (10) gives a palindrome (2010220102).

Adding to 20102201020 its reverse (2010220102), we get a palindrome (22112421122).

It can be divided in two parts, 20102 and 201020, that added together give a palindrome (221122).

The spelling of 20102201020 in words is "twenty billion, one hundred two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 380 418 437 460 506 529 836 874 1012 1045 1058 1265 1748 2090 2116 2185 2530 2645 4180 4370 4807 5060 5290 5819 8740 9091 9614 10051 10580 11638 18182 19228 20102 23276 24035 29095 36364 40204 45455 48070 50255 58190 90910 96140 100001 100510 110561 116380 172729 181820 200002 201020 209093 221122 345458 400004 418186 442244 500005 552805 690916 836372 863645 1000010 1045465 1105610 1727290 1900019 2000020 2090930 2211220 2300023 3454580 3800038 3972767 4181860 4600046 4809139 7600076 7945534 9200092 9500095 9618278 11500115 15891068 19000190 19236556 19863835 23000230 24045695 38000380 39727670 43700437 46000460 48091390 52900529 79455340 87400874 91373641 96182780 105801058 174801748 182747282 211602116 218502185 264502645 365494564 437004370 456868205 529005290 874008740 913736410 1005110051 1058010580 1827472820 2010220102 4020440204 5025550255 10051100510 20102201020