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100001320110 = 23257681144659
BaseRepresentation
bin101110100100010001…
…0110000110010101110
3100120010021010102002200
41131020202300302232
53114300314220420
6113535011202330
710140061124136
oct1351042606256
9316107112080
10100001320110
11394571579aa
121746a2a63a6
139578b82583
144ba92c5ac6
1529043eab90
hex17488b0cae

100001320110 has 48 divisors (see below), whose sum is σ = 260039080080. Its totient is φ = 26663362560.

The previous prime is 100001320079. The next prime is 100001320127. The reversal of 100001320110 is 11023100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100001320092 and 100001320101.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 618961 + ... + 763619.

It is an arithmetic number, because the mean of its divisors is an integer number (5417480835).

Almost surely, 2100001320110 is an apocalyptic number.

100001320110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100001320110 is an abundant number, since it is smaller than the sum of its proper divisors (160037759970).

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

100001320110 is a wasteful number, since it uses less digits than its factorization.

100001320110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152353 (or 152350 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100001320110 its reverse (11023100001), we get a palindrome (111024420111).

The spelling of 100001320110 in words is "one hundred billion, one million, three hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 7681 15362 23043 38405 46086 69129 76810 115215 138258 144659 230430 289318 345645 433977 691290 723295 867954 1301931 1446590 2169885 2603862 4339770 6509655 13019310 1111125779 2222251558 3333377337 5555628895 6666754674 10000132011 11111257790 16666886685 20000264022 33333773370 50000660055 100001320110