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11010110020 = 2257132479901
BaseRepresentation
bin10100100000100000…
…01111001001000100
31001102022110112120121
422100100033021010
5140022042010040
65020304511324
7536561251060
oct122020171104
931368415517
1011010110020
11473aa13688
12217331b544
131066057300
14766382aa0
154468d9c4a
hex29040f244

11010110020 has 144 divisors (see below), whose sum is σ = 29225000448. Its totient is φ = 3410035200.

The previous prime is 11010109969. The next prime is 11010110039. The reversal of 11010110020 is 2001101011.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 11010109985 and 11010110012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107070 + ... + 1116970.

It is an arithmetic number, because the mean of its divisors is an integer number (202951392).

Almost surely, 211010110020 is an apocalyptic number.

11010110020 is a gapful number since it is divisible by the number (10) 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 11010110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14612500224).

11010110020 is an abundant number, since it is smaller than the sum of its proper divisors (18214890428).

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

11010110020 is a wasteful number, since it uses less digits than its factorization.

11010110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9990 (or 9975 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11010110020 its reverse (2001101011), we get a palindrome (13011211031).

Subtracting from 11010110020 its reverse (2001101011), we obtain a palindrome (9009009009).

The spelling of 11010110020 in words is "eleven billion, ten million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 47 52 65 70 91 94 130 140 169 182 188 235 260 329 338 364 455 470 611 658 676 845 910 940 1183 1222 1316 1645 1690 1820 2366 2444 3055 3290 3380 4277 4732 5915 6110 6580 7943 8554 9901 11830 12220 15886 17108 19802 21385 23660 31772 39604 39715 42770 49505 55601 69307 79430 85540 99010 111202 128713 138614 158860 198020 222404 257426 277228 278005 346535 465347 514852 556010 643565 693070 900991 930694 1112020 1287130 1386140 1673269 1801982 1861388 2326735 2574260 3257429 3346538 3603964 4504955 4653470 6049511 6514858 6693076 8366345 9009910 9306940 11712883 12099022 13029716 16287145 16732690 18019820 23425766 24198044 30247555 32574290 33465380 42346577 46851532 58564415 60495110 65148580 78643643 84693154 117128830 120990220 157287286 169386308 211732885 234257660 314574572 393218215 423465770 550505501 786436430 846931540 1101011002 1572872860 2202022004 2752527505 5505055010 11010110020