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10010011000020 = 22351453114820039
BaseRepresentation
bin1001000110101010001100…
…1001100101110011010100
31022102221120212200202010220
42101222203021211303110
52303001000304000040
633142311403314340
72052125255422263
oct221524311456324
938387525622126
1010010011000020
11320a249281559
12115801051b9b0
13577c2b1c7785
142686b69165da
151255b3c752d0
hex91aa3265cd4

10010011000020 has 48 divisors (see below), whose sum is σ = 28047320810880. Its totient is φ = 2667499122816.

The previous prime is 10010011000019. The next prime is 10010011000021. The reversal of 10010011000020 is 2000011001001.

It is an interprime number because it is at equal distance from previous prime (10010011000019) and next prime (10010011000021).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10010010999972 and 10010011000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010011000021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57322840 + ... + 57497199.

It is an arithmetic number, because the mean of its divisors is an integer number (584319183560).

Almost surely, 210010011000020 is an apocalyptic number.

10010011000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010011000020 is an abundant number, since it is smaller than the sum of its proper divisors (18037309810860).

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

10010011000020 is a wasteful number, since it uses less digits than its factorization.

10010011000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114821504 (or 114821502 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10010011000020 its reverse (2000011001001), we get a palindrome (12010022001021).

The spelling of 10010011000020 in words is "ten trillion, ten billion, eleven million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1453 2906 4359 5812 7265 8718 14530 17436 21795 29060 43590 87180 114820039 229640078 344460117 459280156 574100195 688920234 1148200390 1377840468 1722300585 2296400780 3444601170 6889202340 166833516667 333667033334 500500550001 667334066668 834167583335 1001001100002 1668335166670 2002002200004 2502502750005 3336670333340 5005005500010 10010011000020