Search a number
-
+
1110122220020 = 225111713119111863
BaseRepresentation
bin10000001001111000011…
…100001100100111110100
310221010102022210211012112
4100021320130030213310
5121142012242020040
62205552203510152
7143126602115042
oct20117034144764
93833368724175
101110122220020
11398889063790
1215b195828358
13808b7bb8c88
143ba31963392
151dd24452365
hex1027870c9f4

1110122220020 has 192 divisors, whose sum is σ = 2727779991552. Its totient is φ = 375028992000.

The previous prime is 1110122220013. The next prime is 1110122220047. The reversal of 1110122220020 is 200222210111.

It is a junction number, because it is equal to n+sod(n) for n = 1110122219977 and 1110122220004.

It is a congruent number.

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, 93572609 + ... + 93584471.

It is an arithmetic number, because the mean of its divisors is an integer number (14207187456).

Almost surely, 21110122220020 is an apocalyptic number.

1110122220020 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 1110122220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363889995776).

1110122220020 is an abundant number, since it is smaller than the sum of its proper divisors (1617657771532).

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

1110122220020 is a wasteful number, since it uses less digits than its factorization.

1110122220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12222 (or 12220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1110122220020 its reverse (200222210111), we get a palindrome (1310344430131).

Subtracting from 1110122220020 its reverse (200222210111), we obtain a palindrome (909900009909).

The spelling of 1110122220020 in words is "one trillion, one hundred ten billion, one hundred twenty-two million, two hundred twenty thousand, twenty".