Search a number
-
+
101010100101010 = 2556970125324129
BaseRepresentation
bin10110111101111000111111…
…001000101001111110010010
3111020122110201112212020122221
4112331320333020221332102
5101214422141111213020
6554455222133251254
730163511305266022
oct2675707710517622
9436573645766587
10101010100101010
112a2041631a7491
12b3b4526193b2a
134449299a796c9
141ad2cb47d7a82
15ba2787ab86aa
hex5bde3f229f92

101010100101010 has 32 divisors (see below), whose sum is σ = 182397552807600. Its totient is φ = 40275493171200.

The previous prime is 101010100100989. The next prime is 101010100101011. The reversal of 101010100101010 is 10101001010101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 57781145134881 + 43228954966129 = 7601391^2 + 6574873^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101010100100984 and 101010100101002.

It is not an unprimeable number, because it can be changed into a prime (101010100101011) 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, 8673375 + ... + 16650754.

Almost surely, 2101010100101010 is an apocalyptic number.

101010100101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101010100101010 is a deficient number, since it is larger than the sum of its proper divisors (81387452706590).

101010100101010 is a wasteful number, since it uses less digits than its factorization.

101010100101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25325406.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101010100101010 its reverse (10101001010101), we get a palindrome (111111101111111).

Subtracting from 101010100101010 its reverse (10101001010101), we obtain a palindrome (90909099090909).

The spelling of 101010100101010 in words is "one hundred one trillion, ten billion, one hundred million, one hundred one thousand, ten".

Divisors: 1 2 5 10 569 701 1138 1402 2845 3505 5690 7010 398869 797738 1994345 3988690 25324129 50648258 126620645 253241290 14409429401 17752214429 28818858802 35504428858 72047147005 88761072145 144094294010 177522144290 10101010010101 20202020020202 50505050050505 101010100101010