Search a number
-
+
10022444030000 = 24544733763277
BaseRepresentation
bin1001000111011000100000…
…1101110101100000110000
31022111010200100122002221202
42101312020031311200300
52303201431132430000
633152125222310332
72053045335426143
oct221661015654060
938433610562852
1010022444030000
113214549408a46
12115a5002883a8
1357915cc96a4c
14269135c5605a
15125a90530dd5
hex91d88375830

10022444030000 has 200 divisors, whose sum is σ = 24855551827392. Its totient is φ = 3911975424000.

The previous prime is 10022444029979. The next prime is 10022444030017. The reversal of 10022444030000 is 3044422001.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158358362 + ... + 158421638.

Almost surely, 210022444030000 is an apocalyptic number.

10022444030000 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 10022444030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12427775913696).

10022444030000 is an abundant number, since it is smaller than the sum of its proper divisors (14833107797392).

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

10022444030000 is an equidigital number, since it uses as much as digits as its factorization.

10022444030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63689 (or 63668 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10022444030000 its reverse (3044422001), we get a palindrome (10025488452001).

The spelling of 10022444030000 in words is "ten trillion, twenty-two billion, four hundred forty-four million, thirty thousand".