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100000010000 = 245411909091
BaseRepresentation
bin101110100100001110…
…1110000111100010000
3100120010011122211222002
41131020131300330100
53114300000310000
6113534523133132
710140044026442
oct1351035607420
9316104584862
10100000010000
1139456442670
12174699741a8
139578814167
144ba9064492
15290423c8d5
hex1748770f10

100000010000 has 100 divisors (see below), whose sum is σ = 264120316944. Its totient is φ = 36363600000.

The previous prime is 100000009997. The next prime is 100000010039. The reversal of 100000010000 is 10000001.

100000010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sliding number, since 100000010000 = 10000 + 100000000000 and 1/10000 + 1/100000000000 = 0.000100000010000.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 19 ways as a sum of consecutive naturals, for example, 344546 + ... + 564545.

Almost surely, 2100000010000 is an apocalyptic number.

100000010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000010000 is an abundant number, since it is smaller than the sum of its proper divisors (164120306944).

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

100000010000 is an equidigital number, since it uses as much as digits as its factorization.

100000010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909130 (or 909109 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

Adding to 100000010000 its reverse (10000001), we get a palindrome (100010010001).

Subtracting from 100000010000 its reverse (10000001), we obtain a palindrome (99990009999).

100000010000 divided by its reverse (10000001) gives a 4-th power (10000 = 104).

The spelling of 100000010000 in words is "one hundred billion, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 909091 1818182 3636364 4545455 7272728 9090910 10000001 14545456 18181820 20000002 22727275 36363640 40000004 45454550 50000005 72727280 80000008 90909100 100000010 113636375 160000016 181818200 200000020 227272750 250000025 363636400 400000040 454545500 500000050 568181875 800000080 909091000 1000000100 1136363750 1250000125 1818182000 2000000200 2272727500 2500000250 4000000400 4545455000 5000000500 6250000625 9090910000 10000001000 12500001250 20000002000 25000002500 50000005000 100000010000