Search a number
-
+
101000001111101 = 31101171171884563
BaseRepresentation
bin10110111101101111100101…
…001100000100010000111101
3111020121111122201211101220122
4112331233211030010100331
5101214241000241023401
6554450432053024325
730163003116266531
oct2675574514042075
9436544581741818
10101000001111101
112a1aa950620934
12b3b25880250a5
13444834a710431
141ad25d7467bc1
15ba23961a521b
hex5bdbe530443d

101000001111101 has 16 divisors (see below), whose sum is σ = 105296530825728. Its totient is φ = 96768489576000.

The previous prime is 101000001111017. The next prime is 101000001111131. The reversal of 101000001111101 is 101111100000101.

It is a cyclic number.

It is not a de Polignac number, because 101000001111101 - 234 = 100982821241917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000001111131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52651046 + ... + 54535608.

It is an arithmetic number, because the mean of its divisors is an integer number (6581033176608).

Almost surely, 2101000001111101 is an apocalyptic number.

It is an amenable number.

101000001111101 is a deficient number, since it is larger than the sum of its proper divisors (4296529714627).

101000001111101 is a wasteful number, since it uses less digits than its factorization.

101000001111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901812.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101000001111101 its reverse (101111100000101), we get a palindrome (202111101111202).

The spelling of 101000001111101 in words is "one hundred one trillion, one million, one hundred eleven thousand, one hundred one".

Divisors: 1 31 101 3131 17117 530627 1728817 1884563 53593327 58421453 190340863 5900566753 32258064871 1000000011001 3258064551971 101000001111101