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100244443013 = 111323313032309
BaseRepresentation
bin101110101011100001…
…0001100111110000101
3100120202012121100000122
41131113002030332011
53120300034134023
6114015054151325
710146102464231
oct1352702147605
9316665540018
10100244443013
1139571413820
12175177b2545
1395b7357990
144bcd6d15c1
15291a9222c8
hex175708cf85

100244443013 has 32 divisors (see below), whose sum is σ = 118417178880. Its totient is φ = 83659645440.

The previous prime is 100244443003. The next prime is 100244443037. The reversal of 100244443013 is 310344442001.

It is a cyclic number.

It is not a de Polignac number, because 100244443013 - 232 = 95949475717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100244443003) 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 31 ways as a sum of consecutive naturals, for example, 43413503 + ... + 43415811.

It is an arithmetic number, because the mean of its divisors is an integer number (3700536840).

Almost surely, 2100244443013 is an apocalyptic number.

100244443013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100244443013 is a deficient number, since it is larger than the sum of its proper divisors (18172735867).

100244443013 is a wasteful number, since it uses less digits than its factorization.

100244443013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 100244443013 its reverse (310344442001), we get a palindrome (410588885014).

The spelling of 100244443013 in words is "one hundred billion, two hundred forty-four million, four hundred forty-three thousand, thirteen".

Divisors: 1 11 13 143 233 1303 2309 2563 3029 14333 16939 25399 30017 33319 186329 303599 330187 537997 3008627 3339589 3946787 5917967 6993961 33094897 39112151 43414657 76933571 430233661 701010091 7711111001 9113131183 100244443013