Search a number
-
+
110223021010000 = 245443427160017
BaseRepresentation
bin11001000011111101001100…
…000000110110110001010000
3112110021012212211220221111111
4121003331030000312301100
5103421343221334310000
61030231431250023104
732134231133030023
oct3103751400666120
9473235784827444
10110223021010000
1132136358940998
1210441b62877a94
134966ca8b27832
141d30b7361d1ba
15cb2248c46cba
hex643f4c036c50

110223021010000 has 200 divisors, whose sum is σ = 273135510958464. Its totient is φ = 43053077760000.

The previous prime is 110223021009971. The next prime is 110223021010007. The reversal of 110223021010000 is 10120322011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1102230210100002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110223021010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1836499992 + ... + 1836560008.

Almost surely, 2110223021010000 is an apocalyptic number.

110223021010000 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 110223021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136567755479232).

110223021010000 is an abundant number, since it is smaller than the sum of its proper divisors (162912489948464).

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

110223021010000 is an equidigital number, since it uses as much as digits as its factorization.

110223021010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64359 (or 64338 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 110223021010000 its reverse (10120322011), we get a palindrome (110233141332011).

The spelling of 110223021010000 in words is "one hundred ten trillion, two hundred twenty-three billion, twenty-one million, ten thousand".