Search a number
-
+
110100110020 = 225173131034581
BaseRepresentation
bin110011010001001111…
…0100101101011000100
3101112012001210002111121
41212202132211223010
53300441112010040
6122325043243324
710645245331255
oct1464236455304
9345161702447
10110100110020
114276970726a
1219408379544
13a4c817b7c4
145486602b2c
152ce5cbec4a
hex19a27a5ac4

110100110020 has 48 divisors (see below), whose sum is σ = 245593213488. Its totient is φ = 41316986880.

The previous prime is 110100109991. The next prime is 110100110039. The reversal of 110100110020 is 20011001011.

It can be written as a sum of positive squares in 8 ways, for example, as 295358596 + 109804751424 = 17186^2 + 331368^2 .

It is a super-2 number, since 2×1101001100202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110100109985 and 110100110012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410871 + ... + 623710.

It is an arithmetic number, because the mean of its divisors is an integer number (5116525281).

Almost surely, 2110100110020 is an apocalyptic number.

110100110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100110020 is an abundant number, since it is smaller than the sum of its proper divisors (135493103468).

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

110100110020 is a wasteful number, since it uses less digits than its factorization.

110100110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034920 (or 1034918 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 110100110020 its reverse (20011001011), we get a palindrome (130111111031).

The spelling of 110100110020 in words is "one hundred ten billion, one hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 313 340 626 1252 1565 3130 5321 6260 10642 21284 26605 53210 106420 1034581 2069162 4138324 5172905 10345810 17587877 20691620 35175754 70351508 87939385 175878770 323823853 351757540 647647706 1295295412 1619119265 3238238530 5505005501 6476477060 11010011002 22020022004 27525027505 55050055010 110100110020