Search a number
-
+
11000222221122 = 2322398872882753
BaseRepresentation
bin1010000000010011000001…
…0101101000001101000010
31102221121111101210200101100
42200010300111220031002
52420211423342033442
635221233214315230
72213511522060321
oct240046025501502
942847441720340
1011000222221122
113561193739a32
121297b001b8b16
1361a41648b744
142a05b0ca00b8
1514121ae5284c
hexa0130568342

11000222221122 has 48 divisors (see below), whose sum is σ = 23960528766720. Its totient is φ = 3647280892416.

The previous prime is 11000222221061. The next prime is 11000222221123. The reversal of 11000222221122 is 22112222200011.

It is a happy number.

11000222221122 is a `hidden beast` number, since 1 + 100 + 0 + 222 + 221 + 122 = 666.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11000222221095 and 11000222221104.

It is not an unprimeable number, because it can be changed into a prime (11000222221123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2374498 + ... + 5257250.

It is an arithmetic number, because the mean of its divisors is an integer number (499177682640).

Almost surely, 211000222221122 is an apocalyptic number.

11000222221122 is an abundant number, since it is smaller than the sum of its proper divisors (12960306545598).

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

11000222221122 is a wasteful number, since it uses less digits than its factorization.

11000222221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883887 (or 2883884 counting only the distinct ones).

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

Adding to 11000222221122 its reverse (22112222200011), we get a palindrome (33112444421133).

The spelling of 11000222221122 in words is "eleven trillion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 239 478 717 887 1434 1774 2151 2661 4302 5322 7983 15966 211993 423986 635979 1271958 1907937 2882753 3815874 5765506 8648259 17296518 25944777 51889554 688977967 1377955934 2066933901 2557001911 4133867802 5114003822 6200801703 7671005733 12401603406 15342011466 23013017199 46026034398 611123456729 1222246913458 1833370370187 3666740740374 5500111110561 11000222221122