Search a number
-
+
11223222231000 = 2335313217276597
BaseRepresentation
bin1010001101010001110000…
…1011001001111111011000
31110201221002122122221000110
42203110130023021333120
52432340124342343000
635511513242404320
72235564623634603
oct243243413117730
943657078587013
1011223222231000
1136378183a6a5a
1213131765006a0
13635464871400
142ab2c787333a
15146e1d6d9850
hexa351c2c9fd8

11223222231000 has 576 divisors, whose sum is σ = 40279376947680. Its totient is φ = 2600097177600.

The previous prime is 11223222230977. The next prime is 11223222231037. The reversal of 11223222231000 is 13222232211.

11223222231000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112232222310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146484702 + ... + 146561298.

Almost surely, 211223222231000 is an apocalyptic number.

11223222231000 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 11223222231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139688473840).

11223222231000 is an abundant number, since it is smaller than the sum of its proper divisors (29056154716680).

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

11223222231000 is a wasteful number, since it uses less digits than its factorization.

11223222231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76681 (or 76637 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11223222231000 its reverse (13222232211), we get a palindrome (11236444463211).

The spelling of 11223222231000 in words is "eleven trillion, two hundred twenty-three billion, two hundred twenty-two million, two hundred thirty-one thousand".