Search a number
-
+
110011303111110 = 235107132192592589
BaseRepresentation
bin11001000000111000000000…
…101001001010100111000110
3112102111222101212100022121220
4121000320000221022213012
5103404411122044023420
61025550254524421210
732113024434420342
oct3100700051124706
9472458355308556
10110011303111110
1132064593687935
1210408b169a7806
134950037c4599b
141d2480b194622
15cab9a6bc7840
hex640e00a4a9c6

110011303111110 has 64 divisors (see below), whose sum is σ = 266514933484800. Its totient is φ = 29059966300032.

The previous prime is 110011303111093. The next prime is 110011303111117. The reversal of 110011303111110 is 11111303110011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110011303111110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011303111117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41136696 + ... + 43729284.

It is an arithmetic number, because the mean of its divisors is an integer number (4164295835700).

Almost surely, 2110011303111110 is an apocalyptic number.

110011303111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110011303111110 is an abundant number, since it is smaller than the sum of its proper divisors (156503630373690).

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

110011303111110 is a wasteful number, since it uses less digits than its factorization.

110011303111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605925.

The product of its (nonzero) digits is 9, while the sum is 15.

Adding to 110011303111110 its reverse (11111303110011), we get a palindrome (121122606221121).

The spelling of 110011303111110 in words is "one hundred ten trillion, eleven billion, three hundred three million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 107 214 321 535 642 1070 1605 3210 13219 26438 39657 66095 79314 132190 198285 396570 1414433 2592589 2828866 4243299 5185178 7072165 7777767 8486598 12962945 14144330 15555534 21216495 25925890 38888835 42432990 77777670 277407023 554814046 832221069 1387035115 1664442138 2774070230 4161105345 8322210690 34271433991 68542867982 102814301973 171357169955 205628603946 342714339910 514071509865 1028143019730 3667043437037 7334086874074 11001130311111 18335217185185 22002260622222 36670434370370 55005651555555 110011303111110