Search a number
-
+
1031302031301 = 3219371011639901
BaseRepresentation
bin11110000000111100110…
…01000010011111000101
310122120222012201101000200
433000132121002133011
5113344101310000201
62105435033401113
7134336424425343
oct17003631023705
93576865641020
101031302031301
11368411124353
12147a58b69199
137633632a359
1437cb5780993
151bc5e832386
hexf01e6427c5

1031302031301 has 96 divisors (see below), whose sum is σ = 1636529681280. Its totient is φ = 623557440000.

The previous prime is 1031302031293. The next prime is 1031302031363.

It is a happy number.

1031302031301 is a `hidden beast` number, since 1 + 0 + 31 + 302 + 0 + 31 + 301 = 666.

1031302031301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1031302031301 - 23 = 1031302031293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031302031401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104156451 + ... + 104166351.

It is an arithmetic number, because the mean of its divisors is an integer number (17047184180).

Almost surely, 21031302031301 is an apocalyptic number.

It is an amenable number.

1031302031301 is a deficient number, since it is larger than the sum of its proper divisors (605227649979).

1031302031301 is a wasteful number, since it uses less digits than its factorization.

1031302031301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10227 (or 10224 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The spelling of 1031302031301 in words is "one trillion, thirty-one billion, three hundred two million, thirty-one thousand, three hundred one".

Divisors: 1 3 9 19 37 57 101 111 163 171 303 333 489 703 909 1467 1919 2109 3097 3737 5757 6031 6327 9291 9901 11211 16463 17271 18093 27873 29703 33633 49389 54279 71003 89109 114589 148167 188119 213009 312797 343767 366337 564357 609131 639027 938391 1000001 1031301 1099011 1613863 1693071 1827393 2815173 3000003 3297033 4841589 5482179 6960403 9000009 11573489 14524767 19000019 20881209 30663397 34720467 37000037 57000057 59712931 62643627 91990191 104161401 111000111 163000163 171000171 179138793 275970573 333000333 489000489 537416379 703000703 1134545689 1467001467 2109002109 3097003097 3403637067 6031006031 6327006327 9291009291 10210911201 18093018093 27873027873 54279054279 114589114589 343767343767 1031302031301