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100005500001 = 31131671459061
BaseRepresentation
bin101110100100011001…
…0101101010001100001
3100120010112222202211110
41131020302231101201
53114302402000001
6113535240533533
710140141503331
oct1351062552141
9316115882743
10100005500001
1139459552360
121746b7812a9
1395799b6c94
144ba9a930c1
1529049743d6
hex1748cad461

100005500001 has 32 divisors (see below), whose sum is σ = 152396107776. Its totient is φ = 57778776000.

The previous prime is 100005499981. The next prime is 100005500039.

100005500001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100005500001 - 25 = 100005499969 is a prime.

It is a super-2 number, since 2×1000055000012 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100005500001.

It is not an unprimeable number, because it can be changed into a prime (100005500081) 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, 660990 + ... + 798071.

It is an arithmetic number, because the mean of its divisors is an integer number (4762378368).

Almost surely, 2100005500001 is an apocalyptic number.

100005500001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100005500001 is a deficient number, since it is larger than the sum of its proper divisors (52390607775).

100005500001 is a wasteful number, since it uses less digits than its factorization.

100005500001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459173.

The product of its (nonzero) digits is 25, while the sum is 12.

It can be divided in two parts, 100005 and 500001, that added together give a palindrome (600006).

The spelling of 100005500001 in words is "one hundred billion, five million, five hundred thousand, one".

Divisors: 1 3 11 31 33 67 93 201 341 737 1023 2077 2211 6231 22847 68541 1459061 4377183 16049671 45230891 48149013 97757087 135692673 293271261 497539801 1075327957 1492619403 3030469697 3225983871 9091409091 33335166667 100005500001