Search a number
-
+
100122222000 = 2435337607743
BaseRepresentation
bin101110100111110111…
…1111101110110110000
3100120102200121212022110
41131033233331312300
53120022242101000
6113555010405320
710143056562603
oct1351757756660
9316380555273
10100122222000
1139509425319
12174a2890840
139597c33b58
144bbb39833a
15290ed2d850
hex174fbfddb0

100122222000 has 320 divisors, whose sum is σ = 332511289344. Its totient is φ = 25899955200.

The previous prime is 100122221987. The next prime is 100122222059. The reversal of 100122222000 is 222221001.

100122222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134753629 + ... + 134754371.

Almost surely, 2100122222000 is an apocalyptic number.

100122222000 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 100122222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166255644672).

100122222000 is an abundant number, since it is smaller than the sum of its proper divisors (232389067344).

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

100122222000 is a wasteful number, since it uses less digits than its factorization.

100122222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100122222000 its reverse (222221001), we get a palindrome (100344443001).

Subtracting from 100122222000 its reverse (222221001), we obtain a palindrome (99900000999).

The spelling of 100122222000 in words is "one hundred billion, one hundred twenty-two million, two hundred twenty-two thousand".