Search a number
-
+
101113444340001 = 3337911111102809
BaseRepresentation
bin10110111111011001001110…
…111011101001000100100001
3111021000100110210021112101000
4112333121032323221010201
5101223120313222340001
6555014513003102213
730204130260651312
oct2677311673510441
9437010423245330
10101113444340001
112a243a75342865
12b410567b11969
134455c5938a592
141ad7cb9a6c609
15ba52d56e3a86
hex5bf64eee9121

101113444340001 has 32 divisors (see below), whose sum is σ = 154015159334400. Its totient is φ = 65515103821440.

The previous prime is 101113444339991. The next prime is 101113444340021. The reversal of 101113444340001 is 100043444311101.

101113444340001 is a `hidden beast` number, since 101 + 113 + 4 + 4 + 43 + 400 + 0 + 1 = 666.

It is not a de Polignac number, because 101113444340001 - 241 = 98914421084449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101113444340021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54641316 + ... + 56461493.

It is an arithmetic number, because the mean of its divisors is an integer number (4812973729200).

Almost surely, 2101113444340001 is an apocalyptic number.

It is an amenable number.

101113444340001 is a deficient number, since it is larger than the sum of its proper divisors (52901714994399).

101113444340001 is a wasteful number, since it uses less digits than its factorization.

101113444340001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111103766 (or 111103760 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101113444340001 its reverse (100043444311101), we get a palindrome (201156888651102).

The spelling of 101113444340001 in words is "one hundred one trillion, one hundred thirteen billion, four hundred forty-four million, three hundred forty thousand, one".

Divisors: 1 3 9 27 37 111 333 911 999 2733 8199 24597 33707 101121 303363 910089 111102809 333308427 999925281 2999775843 4110803933 12332411799 36997235397 101214658999 110991706191 303643976997 910931930991 2732795792973 3744942382963 11234827148889 33704481446667 101113444340001