Search a number
-
+
100684441841 = 1495771171117
BaseRepresentation
bin101110111000101000…
…0101010100011110001
3100121212212112120221112
41131301100222203301
53122200204114331
6114130453003105
710163024430524
oct1356120524361
9317785476845
10100684441841
1139777819415
121761b023495
139657562409
144c31d08bbb
15294438732b
hex177142a8f1

100684441841 has 8 divisors (see below), whose sum is σ = 101535930600. Its totient is φ = 99835296768.

The previous prime is 100684441811. The next prime is 100684441853. The reversal of 100684441841 is 148144486001.

It can be written as a sum of positive squares in 4 ways, for example, as 27840591025 + 72843850816 = 166855^2 + 269896^2 .

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 100684441841 - 210 = 100684440817 is a prime.

It is a super-2 number, since 2×1006844418412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100684441811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499586 + ... + 671531.

It is an arithmetic number, because the mean of its divisors is an integer number (12691991325).

Almost surely, 2100684441841 is an apocalyptic number.

It is an amenable number.

100684441841 is a deficient number, since it is larger than the sum of its proper divisors (851488759).

100684441841 is a wasteful number, since it uses less digits than its factorization.

100684441841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171843.

The product of its (nonzero) digits is 98304, while the sum is 41.

The spelling of 100684441841 in words is "one hundred billion, six hundred eighty-four million, four hundred forty-one thousand, eight hundred forty-one".

Divisors: 1 149 577 85973 1171117 174496433 675734509 100684441841