Search a number
-
+
101100110100 = 2235211217173947
BaseRepresentation
bin101111000101000001…
…0010100000100010100
3100122221211200201121020
41132022002110010110
53124023112010400
6114240022121140
710206232520403
oct1361202240424
9318854621536
10101100110100
1139970416100
12177162801b0
1396c26cb572
144c711cb63a
15296aae32a0
hex178a094114

101100110100 has 432 divisors, whose sum is σ = 342768936384. Its totient is φ = 22909849600.

The previous prime is 101100110087. The next prime is 101100110129. The reversal of 101100110100 is 1011001101.

Adding to 101100110100 its reverse (1011001101), we get a palindrome (102111111201).

101100110100 divided by its reverse (1011001101) gives a square (100 = 102).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106757827 + ... + 106758773.

It is an arithmetic number, because the mean of its divisors is an integer number (793446612).

Almost surely, 2101100110100 is an apocalyptic number.

101100110100 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 101100110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171384468192).

101100110100 is an abundant number, since it is smaller than the sum of its proper divisors (241668826284).

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

101100110100 is a wasteful number, since it uses less digits than its factorization.

101100110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1158 counting only the distinct ones).

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

The spelling of 101100110100 in words is "one hundred one billion, one hundred million, one hundred ten thousand, one hundred".