Search a number
-
+
100222110000 = 243454123731
BaseRepresentation
bin101110101010110110…
…1000000100100110000
3100120200122120200220000
41131111231000210300
53120223330010000
6114012535350000
710145411610345
oct1352555004460
9316618520800
10100222110000
113955a84a691
1217510222300
1395b283868c
144bca75a7cc
1529189b0000
hex1755b40930

100222110000 has 250 divisors, whose sum is σ = 362476729692. Its totient is φ = 26725680000.

The previous prime is 100222109921. The next prime is 100222110007. The reversal of 100222110000 is 11222001.

It is a tau number, because it is divible by the number of its divisors (250).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100222110007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 748135 + ... + 871865.

Almost surely, 2100222110000 is an apocalyptic number.

100222110000 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 100222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181238364846).

100222110000 is an abundant number, since it is smaller than the sum of its proper divisors (262254619692).

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

100222110000 is an equidigital number, since it uses as much as digits as its factorization.

100222110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123771 (or 123741 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100222110000 its reverse (11222001), we get a palindrome (100233332001).

The spelling of 100222110000 in words is "one hundred billion, two hundred twenty-two million, one hundred ten thousand".