Search a number
-
+
22111000111200 = 253527111337248749
BaseRepresentation
bin1010000011100000111100…
…10011101010100001100000
32220021210100121121020122110
411001300132103222201200
510344231312012024300
6115005353032435320
74441316123633340
oct501603623524140
986253317536573
1022111000111200
11705524a148310
122591315248b40
13c4509b2c0980
1456626ca6ad20
15285257b60550
hex141c1e4ea860

22111000111200 has 1152 divisors, whose sum is σ = 99244897920000. Its totient is φ = 4126430822400.

The previous prime is 22111000111177. The next prime is 22111000111217. The reversal of 22111000111200 is 211100011122.

Adding to 22111000111200 its reverse (211100011122), we get a palindrome (22322100122322).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88764426 + ... + 89013174.

It is an arithmetic number, because the mean of its divisors is an integer number (86150085000).

Almost surely, 222111000111200 is an apocalyptic number.

22111000111200 is a gapful number since it is divisible by the number (20) 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 22111000111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49622448960000).

22111000111200 is an abundant number, since it is smaller than the sum of its proper divisors (77133897808800).

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

22111000111200 is a wasteful number, since it uses less digits than its factorization.

22111000111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248840 (or 248827 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 22111000111200 in words is "twenty-two trillion, one hundred eleven billion, one hundred eleven thousand, two hundred".