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10020035010 = 235439780077
BaseRepresentation
bin10010101010011110…
…11001100111000010
3221212022110111222210
421111033121213002
5131010112110020
64334140042550
7503206615026
oct112517314702
927768414883
1010020035010
114282059677
121b37833456
13c38bb37cb
146b0a9a386
153d9a193e0
hex2553d99c2

10020035010 has 64 divisors (see below), whose sum is σ = 24861336192. Its totient is φ = 2582931456.

The previous prime is 10020034949. The next prime is 10020035033. The reversal of 10020035010 is 1053002001.

10020035010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100200350102 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 85092 + ... + 165168.

It is an arithmetic number, because the mean of its divisors is an integer number (388458378).

Almost surely, 210020035010 is an apocalyptic number.

10020035010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020035010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12430668096).

10020035010 is an abundant number, since it is smaller than the sum of its proper divisors (14841301182).

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

10020035010 is a wasteful number, since it uses less digits than its factorization.

10020035010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80227.

The product of its (nonzero) digits is 30, while the sum is 12.

Adding to 10020035010 its reverse (1053002001), we get a palindrome (11073037011).

The spelling of 10020035010 in words is "ten billion, twenty million, thirty-five thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 97 129 194 215 258 291 430 485 582 645 970 1290 1455 2910 4171 8342 12513 20855 25026 41710 62565 80077 125130 160154 240231 400385 480462 800770 1201155 2402310 3443311 6886622 7767469 10329933 15534938 17216555 20659866 23302407 34433110 38837345 46604814 51649665 77674690 103299330 116512035 233024070 334001167 668002334 1002003501 1670005835 2004007002 3340011670 5010017505 10020035010