Search a number
-
+
11220201201120 = 25351710559130223
BaseRepresentation
bin1010001101000110100000…
…0110110101110111100000
31110201122022010001201002220
42203101220012311313200
52432312433001413440
635510253403311040
72235430021413402
oct243215006656740
943648263051086
1011220201201120
11363650808254a
12131267281b480
136350a2a05a72
142ab0bc554b72
15146ce338e8d0
hexa34681b5de0

11220201201120 has 192 divisors, whose sum is σ = 37426502615040. Its totient is φ = 2815762178048.

The previous prime is 11220201201047. The next prime is 11220201201151. The reversal of 11220201201120 is 2110210202211.

It is a super-2 number, since 2×112202012011202 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11220201201120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86096329 + ... + 86226551.

It is an arithmetic number, because the mean of its divisors is an integer number (194929701120).

Almost surely, 211220201201120 is an apocalyptic number.

11220201201120 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 11220201201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18713251307520).

11220201201120 is an abundant number, since it is smaller than the sum of its proper divisors (26206301413920).

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

11220201201120 is a wasteful number, since it uses less digits than its factorization.

11220201201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140817 (or 140809 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11220201201120 its reverse (2110210202211), we get a palindrome (13330411403331).

The spelling of 11220201201120 in words is "eleven trillion, two hundred twenty billion, two hundred one million, two hundred one thousand, one hundred twenty".