Search a number
-
+
21022222212000 = 2532531951136011
BaseRepresentation
bin1001100011110100111100…
…00101100101101110100000
32202102201000210220021011200
410301322132011211232200
510223412002341241000
6112413250415441200
74266543156325002
oct461723605455640
982381023807150
1021022222212000
116775524432799
1224362b7826200
13b96505464a39
145296a3b6a372
15266c824c1500
hex131e9e165ba0

21022222212000 has 576 divisors, whose sum is σ = 78563023943040. Its totient is φ = 5308955136000.

The previous prime is 21022222211987. The next prime is 21022222212073. The reversal of 21022222212000 is 21222222012.

21022222212000 is a `hidden beast` number, since 21 + 0 + 2 + 222 + 221 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3497288995 + ... + 3497295005.

It is an arithmetic number, because the mean of its divisors is an integer number (136394138790).

Almost surely, 221022222212000 is an apocalyptic number.

21022222212000 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 21022222212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39281511971520).

21022222212000 is an abundant number, since it is smaller than the sum of its proper divisors (57540801731040).

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

21022222212000 is a wasteful number, since it uses less digits than its factorization.

21022222212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11174 (or 11153 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21022222212000 its reverse (21222222012), we get a palindrome (21043444434012).

The spelling of 21022222212000 in words is "twenty-one trillion, twenty-two billion, two hundred twenty-two million, two hundred twelve thousand".