Search a number
-
+
110000100110010 = 235111024332542579
BaseRepresentation
bin11001000000101101100100…
…111001000110111010111010
3112102110220111002220220020020
4121000231210321012322322
5103404220201112010020
61025541203125311310
732112150011450505
oct3100554471067272
9472426432826206
10110000100110010
113205a8648a7340
121040690ab65536
13494bc70c53056
141d2406736013c
15cab54d3d9c40
hex640b64e46eba

110000100110010 has 64 divisors (see below), whose sum is σ = 288028387745280. Its totient is φ = 26664086710080.

The previous prime is 110000100109987. The next prime is 110000100110027. The reversal of 110000100110010 is 10011001000011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12891100 + ... + 19651479.

It is an arithmetic number, because the mean of its divisors is an integer number (4500443558520).

Almost surely, 2110000100110010 is an apocalyptic number.

110000100110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110000100110010 is an abundant number, since it is smaller than the sum of its proper divisors (178028287635270).

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

110000100110010 is a wasteful number, since it uses less digits than its factorization.

110000100110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32552843.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110000100110010 its reverse (10011001000011), we get a palindrome (120011101110021).

The spelling of 110000100110010 in words is "one hundred ten trillion, one hundred million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 10243 20486 30729 51215 61458 102430 112673 153645 225346 307290 338019 563365 676038 1126730 1690095 3380190 32542579 65085158 97627737 162712895 195255474 325425790 357968369 488138685 715936738 976277370 1073905107 1789841845 2147810214 3579683690 5369525535 10739051070 333333636697 666667273394 1000000910091 1666668183485 2000001820182 3333336366970 3666670003667 5000004550455 7333340007334 10000009100910 11000010011001 18333350018335 22000020022002 36666700036670 55000050055005 110000100110010