Search a number
-
+
201112002212220 = 2232511101571718289
BaseRepresentation
bin101101101110100100001001…
…011100111011000101111100
3222101002010020012222101020200
4231232210021130323011330
5202330004340031242340
61551421324532043500
760234601616211441
oct5556441134730574
9871063205871220
10201112002212220
11590981372a6aa0
121a680a2a763590
13882aa1b7c4878
143793c311239c8
15183b5b859b330
hexb6e90973b17c

201112002212220 has 72 divisors (see below), whose sum is σ = 665497898236080. Its totient is φ = 48754424778240.

The previous prime is 201112002212189. The next prime is 201112002212263. The reversal of 201112002212220 is 22212200211102.

It is a happy number.

201112002212220 is a `hidden beast` number, since 20 + 1 + 1 + 1 + 200 + 221 + 2 + 220 = 666.

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 = 201112002212193 and 201112002212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50785857165 + ... + 50785861124.

It is an arithmetic number, because the mean of its divisors is an integer number (9243026364390).

Almost surely, 2201112002212220 is an apocalyptic number.

201112002212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201112002212220 is an abundant number, since it is smaller than the sum of its proper divisors (464385896023860).

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

201112002212220 is a wasteful number, since it uses less digits than its factorization.

201112002212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101571718315 (or 101571718310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201112002212220 its reverse (22212200211102), we get a palindrome (223324202423322).

The spelling of 201112002212220 in words is "two hundred one trillion, one hundred twelve billion, two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 101571718289 203143436578 304715154867 406286873156 507858591445 609430309734 914145464601 1015717182890 1117288901179 1218860619468 1523575774335 1828290929202 2031434365780 2234577802358 3047151548670 3351866703537 3656581858404 4469155604716 4570727323005 5586444505895 6094303097340 6703733407074 9141454646010 10055600110611 11172889011790 13407466814148 16759333517685 18282909292020 20111200221222 22345778023580 33518667035370 40222400442444 50278000553055 67037334070740 100556001106110 201112002212220