Search a number
-
+
101010110110100 = 225210110001001001
BaseRepresentation
bin10110111101111000111111…
…101110110101100110010100
3111020122110202020200202112222
4112331320333232311212110
5101214422201142010400
6554455223132001512
730163511456334032
oct2675707756654624
9436573666622488
10101010110110100
112a204168913464
12b3b4529600298
13444929bb72449
141ad2cb5c81552
15ba27888e4185
hex5bde3fbb5994

101010110110100 has 36 divisors (see below), whose sum is σ = 221362156178268. Its totient is φ = 40004004000000.

The previous prime is 101010110110097. The next prime is 101010110110183. The reversal of 101010110110100 is 1011011010101.

It can be written as a sum of positive squares in 6 ways, for example, as 860894488336 + 100149215621764 = 927844^2 + 10007458^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5000490401 + ... + 5000510600.

Almost surely, 2101010110110100 is an apocalyptic number.

101010110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010110110100 is an abundant number, since it is smaller than the sum of its proper divisors (120352046068168).

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

101010110110100 is a wasteful number, since it uses less digits than its factorization.

101010110110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001001116 (or 10001001109 counting only the distinct ones).

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

Adding to 101010110110100 its reverse (1011011010101), we get a palindrome (102021121120201).

Subtracting from 101010110110100 its reverse (1011011010101), we obtain a palindrome (99999099099999).

The spelling of 101010110110100 in words is "one hundred one trillion, ten billion, one hundred ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 10001001001 20002002002 40004004004 50005005005 100010010010 200020020020 250025025025 500050050050 1000100100100 1010101101101 2020202202202 4040404404404 5050505505505 10101011011010 20202022022020 25252527527525 50505055055050 101010110110100