Search a number
-
+
11222210211120 = 2432515586403071
BaseRepresentation
bin1010001101001101111111…
…0110100110110100110000
31110201211111010100222201200
42203103133312212310300
52432331041303223440
635511225011331200
72235530554622406
oct243233766466460
943654433328650
1011222210211120
113637349113497
121312b335b0b00
13635332cb618c
142ab22d2b7476
15146dae931c30
hexa34dfda6d30

11222210211120 has 60 divisors (see below), whose sum is σ = 37687922628096. Its totient is φ = 2992589389440.

The previous prime is 11222210211119. The next prime is 11222210211203. The reversal of 11222210211120 is 2111201222211.

11222210211120 is a `hidden beast` number, since 1 + 1 + 222 + 210 + 211 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 11222210211093 and 11222210211102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7793200816 + ... + 7793202255.

Almost surely, 211222210211120 is an apocalyptic number.

11222210211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222210211120 is an abundant number, since it is smaller than the sum of its proper divisors (26465712416976).

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

11222210211120 is a wasteful number, since it uses less digits than its factorization.

11222210211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15586403090 (or 15586403081 counting only the distinct ones).

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

Adding to 11222210211120 its reverse (2111201222211), we get a palindrome (13333411433331).

The spelling of 11222210211120 in words is "eleven trillion, two hundred twenty-two billion, two hundred ten million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 15586403071 31172806142 46759209213 62345612284 77932015355 93518418426 124691224568 140277627639 155864030710 187036836852 233796046065 249382449136 280555255278 311728061420 374073673704 467592092130 561110510556 623456122840 701388138195 748147347408 935184184260 1122221021112 1246912245680 1402776276390 1870368368520 2244442042224 2805552552780 3740736737040 5611105105560 11222210211120