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20102110020 = 223251721133109
BaseRepresentation
bin10010101110001011…
…011101101101000100
31220212221122222212100
4102232023131231010
5312132120010040
613122413552100
71311102054516
oct225613355504
956787588770
1020102110020
118586131873
123a901a5630
131b848a9975
14d89aa5bb6
157c9bdab30
hex4ae2ddb44

20102110020 has 144 divisors (see below), whose sum is σ = 64614579120. Its totient is φ = 5041225728.

The previous prime is 20102110001. The next prime is 20102110057. The reversal of 20102110020 is 2001120102.

It can be written as a sum of positive squares in 8 ways, for example, as 4220061444 + 15882048576 = 64962^2 + 126024^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20102109984 and 20102110011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6464226 + ... + 6467334.

It is an arithmetic number, because the mean of its divisors is an integer number (448712355).

Almost surely, 220102110020 is an apocalyptic number.

20102110020 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 20102110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32307289560).

20102110020 is an abundant number, since it is smaller than the sum of its proper divisors (44512469100).

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

20102110020 is a wasteful number, since it uses less digits than its factorization.

20102110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5254 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20102110020 its reverse (2001120102), we get a palindrome (22103230122).

The spelling of 20102110020 in words is "twenty billion, one hundred two million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 2113 3060 3109 4226 6218 6339 8452 9327 10565 12436 12678 15545 18654 19017 21130 25356 27981 31090 31695 35921 37308 38034 42260 46635 52853 55962 62180 63390 71842 76068 93270 95085 105706 107763 111924 126780 139905 143684 158559 179605 186540 190170 211412 215526 264265 279810 317118 323289 359210 380340 431052 475677 528530 538815 559620 634236 646578 718420 792795 951354 1057060 1077630 1293156 1585590 1616445 1902708 2155260 2378385 3171180 3232890 4756770 6465780 6569317 9513540 13138634 19707951 26277268 32846585 39415902 59123853 65693170 78831804 98539755 111678389 118247706 131386340 197079510 223356778 236495412 295619265 335035167 394159020 446713556 558391945 591238530 670070334 1005105501 1116783890 1182477060 1340140668 1675175835 2010211002 2233567780 3350351670 4020422004 5025527505 6700703340 10051055010 20102110020