Search a number
-
+
100100110110 = 2357211133115361
BaseRepresentation
bin101110100111001101…
…1100111011100011110
3100120101011000110111120
41131032123213130132
53120001112010420
6113552500431410
710142400616500
oct1351633473436
9316334013446
10100100110110
11394a79a2330
12174973a8566
1395934913b0
144bb847dd70
15290ce11d40
hex174e6e771e

100100110110 has 384 divisors, whose sum is σ = 338933403648. Its totient is φ = 18579456000.

The previous prime is 100100110051. The next prime is 100100110129. The reversal of 100100110110 is 11011001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

100100110110 is a modest number, since divided by 110110 gives 100100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6508830 + ... + 6524190.

It is an arithmetic number, because the mean of its divisors is an integer number (882639072).

Almost surely, 2100100110110 is an apocalyptic number.

100100110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169466701824).

100100110110 is an abundant number, since it is smaller than the sum of its proper divisors (238833293538).

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

100100110110 is a wasteful number, since it uses less digits than its factorization.

100100110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15440 (or 15433 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100110110 its reverse (11011001001), we get a palindrome (111111111111).

The spelling of 100100110110 in words is "one hundred billion, one hundred million, one hundred ten thousand, one hundred ten".