Search a number
-
+
111022212030000 = 2435441619145819
BaseRepresentation
bin11001001111100101011111…
…100000101001111000110000
3112120002121201211211020112220
4121033211133200221320300
5104022441442234430000
61032042522231121040
732246042624434545
oct3117453740517060
9476077654736486
10111022212030000
113241428a390a77
1210550a22213180
1349c44712c8acb
141d5b70a35cbcc
15cc7e20edb1a0
hex64f95f829e30

111022212030000 has 400 divisors, whose sum is σ = 367731465763200. Its totient is φ = 28836967680000.

The previous prime is 111022212029983. The next prime is 111022212030017. The reversal of 111022212030000 is 30212220111.

111022212030000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (111022212029983) and next prime (111022212030017).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 761297091 + ... + 761442909.

It is an arithmetic number, because the mean of its divisors is an integer number (919328664408).

Almost surely, 2111022212030000 is an apocalyptic number.

111022212030000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111022212030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183865732881600).

111022212030000 is an abundant number, since it is smaller than the sum of its proper divisors (256709253733200).

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

111022212030000 is a wasteful number, since it uses less digits than its factorization.

111022212030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146510 (or 146489 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 111022212030000 its reverse (30212220111), we get a palindrome (111052424250111).

The spelling of 111022212030000 in words is "one hundred eleven trillion, twenty-two billion, two hundred twelve million, thirty thousand".