Search a number
-
+
211120201112220 = 22335390963335393
BaseRepresentation
bin110000000000001101000000…
…100101111001101010011100
31000200111220010210212220111000
4300000031000211321222130
5210132443132441042340
62025003140444030300
762316634252222431
oct6000150045715234
91020456123786430
10211120201112220
11612a66356a9a24
121b818614232390
1390a571b4538ba
143a1c3b50d3b88
151961ac31c7d30
hexc00340979a9c

211120201112220 has 48 divisors (see below), whose sum is σ = 656818403461920. Its totient is φ = 56298720296448.

The previous prime is 211120201112201. The next prime is 211120201112243. The reversal of 211120201112220 is 22211102021112.

211120201112220 is a `hidden beast` number, since 2 + 11 + 120 + 201 + 112 + 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 = 211120201112193 and 211120201112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195481667157 + ... + 195481668236.

It is an arithmetic number, because the mean of its divisors is an integer number (13683716738790).

Almost surely, 2211120201112220 is an apocalyptic number.

211120201112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120201112220 is an abundant number, since it is smaller than the sum of its proper divisors (445698202349700).

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

211120201112220 is a wasteful number, since it uses less digits than its factorization.

211120201112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390963335411 (or 390963335403 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211120201112220 its reverse (22211102021112), we get a palindrome (233331303133332).

The spelling of 211120201112220 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 390963335393 781926670786 1172890006179 1563853341572 1954816676965 2345780012358 3518670018537 3909633353930 4691560024716 5864450030895 7037340037074 7819266707860 10556010055611 11728900061790 14074680074148 17593350092685 21112020111222 23457800123580 35186700185370 42224040222444 52780050278055 70373400370740 105560100556110 211120201112220