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100884444881 = 1173125634427
BaseRepresentation
bin101110111110100101…
…1100111011011010001
3100122101210212210112112
41131331023213123101
53123102404214011
6114202355435105
710201003430003
oct1357513473321
9318353783475
10100884444881
113986a703690
1217675bb5a95
139689b1abcc
144c506cc373
152956be258b
hex177d2e76d1

100884444881 has 8 divisors (see below), whose sum is σ = 111563372064. Its totient is φ = 90456786720.

The previous prime is 100884444877. The next prime is 100884444893. The reversal of 100884444881 is 188444488001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100884444881 - 22 = 100884444877 is a prime.

It is a super-3 number, since 3×1008844448813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100884444481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62816411 + ... + 62818016.

It is an arithmetic number, because the mean of its divisors is an integer number (13945421508).

Almost surely, 2100884444881 is an apocalyptic number.

100884444881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100884444881 is a deficient number, since it is larger than the sum of its proper divisors (10678927183).

100884444881 is a wasteful number, since it uses less digits than its factorization.

100884444881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125634511.

The product of its (nonzero) digits is 1048576, while the sum is 50.

The spelling of 100884444881 in words is "one hundred billion, eight hundred eighty-four million, four hundred forty-four thousand, eight hundred eighty-one".

Divisors: 1 11 73 803 125634427 1381978697 9171313171 100884444881