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110200011020 = 225111929909091
BaseRepresentation
bin110011010100001101…
…1101011100100001100
3101112110000202120220122
41212220123223210030
53301142200323040
6122343012404112
710650600431651
oct1465033534414
9345400676818
10110200011020
1142810040380
1219435916638
13a512a89218
1454959a9c28
152cee9551b5
hex19a86eb90c

110200011020 has 96 divisors (see below), whose sum is σ = 274909420800. Its totient is φ = 36654508800.

The previous prime is 110200011011. The next prime is 110200011037. The reversal of 110200011020 is 20110002011.

110200011020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 110200010989 and 110200011007.

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, 333326 + ... + 575765.

It is an arithmetic number, because the mean of its divisors is an integer number (2863639800).

Almost surely, 2110200011020 is an apocalyptic number.

110200011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110200011020 is an abundant number, since it is smaller than the sum of its proper divisors (164709409780).

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

110200011020 is a wasteful number, since it uses less digits than its factorization.

110200011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909159 (or 909157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110200011020 its reverse (20110002011), we get a palindrome (130310013031).

Subtracting from 110200011020 its reverse (20110002011), we obtain a palindrome (90090009009).

It can be divided in two parts, 1102000 and 11020, that multiplied together give a square (12144040000 = 1102002).

The spelling of 110200011020 in words is "one hundred ten billion, two hundred million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 29 38 44 55 58 76 95 110 116 145 190 209 220 290 319 380 418 551 580 638 836 1045 1102 1276 1595 2090 2204 2755 3190 4180 5510 6061 6380 11020 12122 24244 30305 60610 121220 909091 1818182 3636364 4545455 9090910 10000001 17272729 18181820 20000002 26363639 34545458 40000004 50000005 52727278 69090916 86363645 100000010 105454556 131818195 172727290 190000019 200000020 263636390 290000029 345454580 380000038 500909141 527272780 580000058 760000076 950000095 1001818282 1160000116 1450000145 1900000190 2003636564 2504545705 2900000290 3800000380 5009091410 5510000551 5800000580 10018182820 11020001102 22040002204 27550002755 55100005510 110200011020