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110211131113020 = 223257641571363361
BaseRepresentation
bin11001000011110010000111…
…010100011111111000111100
3112110020002012012222121002200
4121003302013110133320330
5103421144344031104040
61030222143352151500
732133330366414240
oct3103620724377074
9473202165877080
10110211131113020
1132131307351353
121043b7a4998590
134965b32733232
141d303664a2420
15cb1c9eec4630
hex643c8751fe3c

110211131113020 has 144 divisors (see below), whose sum is σ = 382071489928128. Its totient is φ = 25190704558080.

The previous prime is 110211131113001. The next prime is 110211131113021. The reversal of 110211131113020 is 20311131112011.

110211131113020 is a `hidden beast` number, since 1 + 10 + 211 + 1 + 311 + 130 + 2 + 0 = 666.

It is a super-2 number, since 2×1102111311130202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110211131112984 and 110211131113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110211131113021) 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, 80156140 + ... + 81519500.

It is an arithmetic number, because the mean of its divisors is an integer number (2653274235612).

Almost surely, 2110211131113020 is an apocalyptic number.

110211131113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110211131113020 is an abundant number, since it is smaller than the sum of its proper divisors (271860358815108).

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

110211131113020 is a wasteful number, since it uses less digits than its factorization.

110211131113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427540 (or 1427535 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 110211131113020 its reverse (20311131112011), we get a palindrome (130522262225031).

The spelling of 110211131113020 in words is "one hundred ten trillion, two hundred eleven billion, one hundred thirty-one million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 64157 128314 192471 256628 320785 384942 449099 577413 641570 769884 898198 962355 1154826 1283140 1347297 1363361 1796396 1924710 2245495 2309652 2694594 2726722 2887065 3849420 4041891 4090083 4490990 5389188 5453444 5774130 6736485 6816805 8083782 8180166 8981980 9543527 11548260 12270249 13472970 13633610 16167564 16360332 19087054 20209455 20450415 24540498 26945940 27267220 28630581 38174108 40418910 40900830 47717635 49080996 57261162 61351245 80837820 81801660 85891743 95435270 114522324 122702490 143152905 171783486 190870540 245404980 286305810 343566972 429458715 572611620 858917430 1717834860 87469151677 174938303354 262407455031 349876606708 437345758385 524814910062 612284061739 787222365093 874691516770 1049629820124 1224568123478 1312037275155 1574444730186 1749383033540 1836852185217 2449136246956 2624074550310 3061420308695 3148889460372 3673704370434 3936111825465 5248149100620 5510556555651 6122840617390 7347408740868 7872223650930 9184260926085 11021113111302 12245681234780 15744447301860 18368521852170 22042226222604 27552782778255 36737043704340 55105565556510 110211131113020