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100020010211 = 1154120638147
BaseRepresentation
bin101110100100110101…
…0000011110011100011
3100120011120021222002122
41131021222003303203
53114320110311321
6113540515534455
710140406026212
oct1351152036343
9316146258078
10100020010211
1139466763070
12174745ba42b
13957c9c76c4
144bab98d079
152905d8d8ab
hex1749a83ce3

100020010211 has 16 divisors (see below), whose sum is σ = 109380837888. Its totient is φ = 90704080800.

The previous prime is 100020010177. The next prime is 100020010213. The reversal of 100020010211 is 112010020001.

It is a cyclic number.

It is not a de Polignac number, because 100020010211 - 26 = 100020010147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100020010213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12272840 + ... + 12280986.

It is an arithmetic number, because the mean of its divisors is an integer number (6836302368).

Almost surely, 2100020010211 is an apocalyptic number.

100020010211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100020010211 is a deficient number, since it is larger than the sum of its proper divisors (9360827677).

100020010211 is a wasteful number, since it uses less digits than its factorization.

100020010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10762.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100020010211 its reverse (112010020001), we get a palindrome (212030030212).

The spelling of 100020010211 in words is "one hundred billion, twenty million, ten thousand, two hundred eleven".

Divisors: 1 11 541 2063 5951 8147 22693 89617 1116083 4407527 12276913 16807261 48482797 184879871 9092728201 100020010211