Search a number
-
+
110101010220100 = 22521831360121777
BaseRepresentation
bin11001000010001011100011…
…100110101000010001000100
3112102211112221201002121211001
4121002023203212220101010
5103412343332104020400
61030055412243223044
732122351446313264
oct3102134346502104
9472745851077731
10110101010220100
1132099637a3a639
1210422391677a84
134958633188b73
141d28cbb20d7a4
15cadea749ba6a
hex6422e39a8444

110101010220100 has 36 divisors (see below), whose sum is σ = 238932242577364. Its totient is φ = 44037998484480.

The previous prime is 110101010220043. The next prime is 110101010220107. The reversal of 110101010220100 is 1022010101011.

It can be written as a sum of positive squares in 6 ways, for example, as 15448814528004 + 94652195692096 = 3930498^2 + 9728936^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (110101010220107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28229589 + ... + 31892188.

Almost surely, 2110101010220100 is an apocalyptic number.

110101010220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101010220100 is an abundant number, since it is smaller than the sum of its proper divisors (128831232357264).

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

110101010220100 is a wasteful number, since it uses less digits than its factorization.

110101010220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60140104 (or 60140097 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110101010220100 its reverse (1022010101011), we get a palindrome (111123020321111).

The spelling of 110101010220100 in words is "one hundred ten trillion, one hundred one billion, ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 18313 36626 73252 91565 183130 366260 457825 915650 1831300 60121777 120243554 240487108 300608885 601217770 1202435540 1503044425 3006088850 6012177700 1101010102201 2202020204402 4404040408804 5505050511005 11010101022010 22020202044020 27525252555025 55050505110050 110101010220100