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100001000110 = 251123229172603
BaseRepresentation
bin101110100100010000…
…1100010101010101110
3100120010020112011010211
41131020201202222232
53114300224000420
6113535000253034
710140055322164
oct1351041425256
9316106464124
10100001000110
1139456a59540
121746a17117a
139578a9ca1b
144ba9241234
152904385e5a
hex1748862aae

100001000110 has 64 divisors (see below), whose sum is σ = 205799201280. Its totient is φ = 34630865280.

The previous prime is 100001000083. The next prime is 100001000117. The reversal of 100001000110 is 11000100001.

It is a self number, because there is not a number n which added to its sum of digits gives 100001000110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001000117) 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, 493069 + ... + 665671.

It is an arithmetic number, because the mean of its divisors is an integer number (3215612520).

Almost surely, 2100001000110 is an apocalyptic number.

100001000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100001000110 is an abundant number, since it is smaller than the sum of its proper divisors (105798201170).

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

100001000110 is a wasteful number, since it uses less digits than its factorization.

100001000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172873.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100001000110 its reverse (11000100001), we get a palindrome (111001100111).

The spelling of 100001000110 in words is "one hundred billion, one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 11 22 23 46 55 110 115 229 230 253 458 506 1145 1265 2290 2519 2530 5038 5267 10534 12595 25190 26335 52670 57937 115874 172603 289685 345206 579370 863015 1726030 1898633 3797266 3969869 7939738 9493165 18986330 19849345 39526087 39698690 43668559 79052174 87337118 197630435 218342795 395260870 434786957 436685590 869573914 909100001 1818200002 2173934785 4347869570 4545500005 9091000010 10000100011 20000200022 50000500055 100001000110