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101050001060 = 225101157318629
BaseRepresentation
bin101111000011100001…
…1001010011010100100
3100122211100101220220212
41132013003022122210
53123422300013220
6114231032114552
710205053560041
oct1360703123244
9318740356825
10101050001060
1139945100478
1217701535a58
1396b5205648
144c686a61c8
1529664e60c5
hex17870ca6a4

101050001060 has 48 divisors (see below), whose sum is σ = 215671725360. Its totient is φ = 39764774400.

The previous prime is 101050000999. The next prime is 101050001069. The reversal of 101050001060 is 60100050101.

It can be written as a sum of positive squares in 8 ways, for example, as 7782062656 + 93267938404 = 88216^2 + 305398^2 .

It is a super-2 number, since 2×1010500010602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101050001069) 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 15 ways as a sum of consecutive naturals, for example, 157826 + ... + 476454.

It is an arithmetic number, because the mean of its divisors is an integer number (4493160945).

Almost surely, 2101050001060 is an apocalyptic number.

101050001060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101050001060 is an abundant number, since it is smaller than the sum of its proper divisors (114621724300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101050001060 is a wasteful number, since it uses less digits than its factorization.

101050001060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318896 (or 318894 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 101050001060 its reverse (60100050101), we get a palindrome (161150051161).

The spelling of 101050001060 in words is "one hundred one billion, fifty million, one thousand, sixty".

Divisors: 1 2 4 5 10 20 101 157 202 314 404 505 628 785 1010 1570 2020 3140 15857 31714 63428 79285 158570 317140 318629 637258 1274516 1593145 3186290 6372580 32181529 50024753 64363058 100049506 128726116 160907645 200099012 250123765 321815290 500247530 643630580 1000495060 5052500053 10105000106 20210000212 25262500265 50525000530 101050001060