Search a number
-
+
10130313022011 = 3371339291049387
BaseRepresentation
bin1001001101101010010110…
…1101011000101000111011
31022212110002221011122221000
42103122211231120220323
52311433340113201021
633313445045220043
72063614412635260
oct223324555305073
938773087148830
1010130313022011
113256272671226
1211773a5401623
13586390b3a080
14270449ddb267
151287a54d8b26
hex936a5b58a3b

10130313022011 has 64 divisors (see below), whose sum is σ = 18475944883200. Its totient is φ = 5342096717568.

The previous prime is 10130313021971. The next prime is 10130313022021. The reversal of 10130313022011 is 11022031303101.

10130313022011 is a `hidden beast` number, since 1 + 0 + 1 + 303 + 130 + 220 + 11 = 666.

It is not a de Polignac number, because 10130313022011 - 215 = 10130312989243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10130313022021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9128860 + ... + 10178246.

It is an arithmetic number, because the mean of its divisors is an integer number (288686638800).

Almost surely, 210130313022011 is an apocalyptic number.

10130313022011 is a deficient number, since it is larger than the sum of its proper divisors (8345631861189).

10130313022011 is a wasteful number, since it uses less digits than its factorization.

10130313022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053345 (or 1053339 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10130313022011 its reverse (11022031303101), we get a palindrome (21152344325112).

The spelling of 10130313022011 in words is "ten trillion, one hundred thirty billion, three hundred thirteen million, twenty-two thousand, eleven".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 3929 11787 27503 35361 51077 82509 106083 153231 247527 357539 459693 742581 1049387 1072617 1379079 3148161 3217851 7345709 9444483 9653553 13642031 22037127 28333449 40926093 66111381 95494217 122778279 198334143 286482651 368334837 859447953 2578343859 4123041523 12369124569 28861290661 37107373707 53599539799 86583871983 111322121121 160798619397 259751615949 375196778593 482395858191 779254847847 1125590335779 1447187574573 3376771007337 10130313022011