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10030312201 = 721341735261
BaseRepresentation
bin10010101011101101…
…00110101100001001
3221220000210122122111
421111312212230021
5131020224442301
64335144222321
7503363150500
oct112566465411
927800718574
1010030312201
114287939018
121b3b16a9a1
13c3b0715a0
146b21b3837
153da899551
hex255da6b09

10030312201 has 48 divisors (see below), whose sum is σ = 13050728208. Its totient is φ = 7634995200.

The previous prime is 10030312181. The next prime is 10030312207. The reversal of 10030312201 is 10221303001.

10030312201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 967272201 + 9063040000 = 31101^2 + 95200^2 .

It is not a de Polignac number, because 10030312201 - 27 = 10030312073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10030312207) 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 47 ways as a sum of consecutive naturals, for example, 1903911 + ... + 1909171.

It is an arithmetic number, because the mean of its divisors is an integer number (271890171).

Almost surely, 210030312201 is an apocalyptic number.

It is an amenable number.

10030312201 is a deficient number, since it is larger than the sum of its proper divisors (3020416007).

10030312201 is a wasteful number, since it uses less digits than its factorization.

10030312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10030312201 its reverse (10221303001), we get a palindrome (20251615202).

The spelling of 10030312201 in words is "ten billion, thirty million, three hundred twelve thousand, two hundred one".

Divisors: 1 7 13 41 49 73 91 287 511 533 637 949 2009 2993 3577 3731 5261 6643 20951 26117 36827 38909 46501 68393 146657 215701 257789 272363 384053 478751 1509907 1906541 2688371 2804113 3351257 4992689 10569349 15746173 18818597 19628791 34948823 110223211 137401537 204700249 244641761 771562477 1432901743 10030312201