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101100110100110 = 251173101137909901
BaseRepresentation
bin10110111111001100110100…
…001001100011011010001110
3111020222002001111112221222022
4112333030310021203122032
5101222411011141200420
6555004425512050142
730203145655536332
oct2677146411433216
9436862044487868
10101100110100110
112a239352527aa0
12b409a66393952
13445491298ccc4
141ad73b2b797c2
15ba4ca4c6cc25
hex5bf33426368e

101100110100110 has 128 divisors (see below), whose sum is σ = 204719564343168. Its totient is φ = 35638963200000.

The previous prime is 101100110100109. The next prime is 101100110100139. The reversal of 101100110100110 is 11001011001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110656160 + ... + 111566060.

It is an arithmetic number, because the mean of its divisors is an integer number (1599371596431).

Almost surely, 2101100110100110 is an apocalyptic number.

101100110100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100110100110 is an abundant number, since it is smaller than the sum of its proper divisors (103619454243058).

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

101100110100110 is a wasteful number, since it uses less digits than its factorization.

101100110100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910230.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101100110100110 its reverse (11001011001101), we get a palindrome (112101121101211).

Subtracting from 101100110100110 its reverse (11001011001101), we obtain a palindrome (90099099099009).

It can be divided in two parts, 1011001 and 10100110, that added together give a palindrome (11111111).

The spelling of 101100110100110 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 73 101 110 137 146 202 274 365 505 685 730 803 1010 1111 1370 1507 1606 2222 3014 4015 5555 7373 7535 8030 10001 11110 13837 14746 15070 20002 27674 36865 50005 69185 73730 81103 100010 110011 138370 152207 162206 220022 304414 405515 550055 761035 811030 909901 1010101 1100110 1522070 1819802 2020202 4549505 5050505 9099010 10008911 10101010 11111111 20017822 22222222 50044555 55555555 66422773 91900001 100089110 111111110 124656437 132845546 183800002 249312874 332113865 459500005 623282185 664227730 730650503 919000010 1010900011 1246564370 1371220807 1461301006 2021800022 2742441614 3653252515 5054500055 6708700073 6856104035 7306505030 9099919901 10109000110 12590300137 13417400146 13712208070 18199839802 25180600274 33543500365 45499599505 62951500685 67087000730 73795700803 90999199010 100099118911 125903001370 138493301507 147591401606 200198237822 276986603014 368978504015 500495594555 692466507535 737957008030 919091910001 1000991189110 1384933015070 1838183820002 4595459550005 9190919100010 10110011010011 20220022020022 50550055050055 101100110100110