Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
101101100000100 = 2235210119717599629
BaseRepresentation
bin10110111111001101101111…
…001001101110001101100100
3111020222011121111020002110220
4112333031233021232031210
5101222420023100000400
6555005112033044340
730203212335543204
oct2677155711561544
9436864544202426
10101101100000100
112a239810282562
12b40a0a19b66b0
134454a3caa1c45
141ad7468418404
15ba4d11b067a0
hex5bf36f26e364

101101100000100 has 288 divisors, whose sum is σ = 297114633446400. Its totient is φ = 26540005632000.

The previous prime is 101101100000093. The next prime is 101101100000129. The reversal of 101101100000100 is 1000001101101.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10499642086 + ... + 10499651714.

It is an arithmetic number, because the mean of its divisors is an integer number (1031648032800).

Almost surely, 2101101100000100 is an apocalyptic number.

101101100000100 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 101101100000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148557316723200).

101101100000100 is an abundant number, since it is smaller than the sum of its proper divisors (196013533446300).

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

101101100000100 is a wasteful number, since it uses less digits than its factorization.

101101100000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703 (or 11696 counting only the distinct ones).

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

Adding to 101101100000100 its reverse (1000001101101), we get a palindrome (102101101101201).

The spelling of 101101100000100 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred", and thus it is an aban number.