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101011110020 = 2255938516957
BaseRepresentation
bin101111000010010111…
…0110011100010000100
3100122201122020001102222
41132010232303202010
53123332321010040
6114223122351512
710204102161062
oct1360456634204
9318648201388
10101011110020
1139925158017
12176b04bb598
1396aa1397b2
144c63461032
152962db2bb5
hex1784bb3884

101011110020 has 24 divisors (see below), whose sum is σ = 212481068184. Its totient is φ = 40336303616.

The previous prime is 101011110007. The next prime is 101011110029. The reversal of 101011110020 is 20011110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20722754116 + 80288355904 = 143954^2 + 283352^2 .

It is not an unprimeable number, because it can be changed into a prime (101011110029) 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 7 ways as a sum of consecutive naturals, for example, 4246619 + ... + 4270338.

It is an arithmetic number, because the mean of its divisors is an integer number (8853377841).

Almost surely, 2101011110020 is an apocalyptic number.

101011110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011110020 is an abundant number, since it is smaller than the sum of its proper divisors (111469958164).

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

101011110020 is a wasteful number, since it uses less digits than its factorization.

101011110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8517559 (or 8517557 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101011110020 its reverse (20011110101), we get a palindrome (121022220121).

The spelling of 101011110020 in words is "one hundred one billion, eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 593 1186 2372 2965 5930 11860 8516957 17033914 34067828 42584785 85169570 170339140 5050555501 10101111002 20202222004 25252777505 50505555010 101011110020