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10203030201 = 37133773101137
BaseRepresentation
bin10011000000010010…
…11110001010111001
3222100001210122012110
421200021132022321
5131343433431301
64404234202533
7510561216510
oct114011361271
928301718173
1010203030201
114366387671
121b88b83449
13c67a95aa0
146cb0d3677
153eab150d6
hex26025e2b9

10203030201 has 128 divisors (see below), whose sum is σ = 17732606976. Its totient is φ = 5076172800.

The previous prime is 10203030197. The next prime is 10203030259.

It is a happy number.

10203030201 is nontrivially palindromic in base 10.

10203030201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10203030201 - 22 = 10203030197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10203030281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74474605 + ... + 74474741.

It is an arithmetic number, because the mean of its divisors is an integer number (138535992).

Almost surely, 210203030201 is an apocalyptic number.

It is an amenable number.

10203030201 is a deficient number, since it is larger than the sum of its proper divisors (7529576775).

10203030201 is a wasteful number, since it uses less digits than its factorization.

10203030201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 102030 and 30201, that added together give a palindrome (132231).

The spelling of 10203030201 in words is "ten billion, two hundred three million, thirty thousand, two hundred one".

Divisors: 1 3 7 13 21 37 39 73 91 101 111 137 219 259 273 303 411 481 511 707 777 949 959 1313 1443 1533 1781 2121 2701 2847 2877 3367 3737 3939 5069 5343 6643 7373 8103 9191 10001 10101 11211 12467 13837 15207 18907 19929 22119 26159 27573 30003 35113 35483 37401 41511 48581 51611 56721 65897 70007 78477 95849 96859 105339 106449 130013 145743 154833 179881 197691 210021 245791 272801 287547 290577 340067 370037 390039 461279 511969 539643 670943 737373 818403 910091 1010101 1020201 1110111 1259167 1383837 1535907 1909607 2012829 2590259 2730273 3030303 3546413 3583783 3777501 4810481 5728821 6655597 7070707 7770777 10639239 10751349 13131313 14431443 19966791 21212121 24824891 33673367 37373737 39393939 46589179 74474673 91919191 101020101 112121211 139767537 261616159 275757573 485858581 784848477 1457575743 3401010067 10203030201