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101130211303 = 11172791392897
BaseRepresentation
bin101111000101111010…
…1001000111111100111
3100200000221100000200121
41132023311020333213
53124103313230203
6114243015222411
710210046420122
oct1361365107747
9320027300617
10101130211303
1139986405630
1217724377a07
1396c8a0a624
144c751c53b9
15296d58c0bd
hex178bd48fe7

101130211303 has 48 divisors (see below), whose sum is σ = 119573798400. Its totient is φ = 84789319680.

The previous prime is 101130211289. The next prime is 101130211397. The reversal of 101130211303 is 303112031101.

It is not a de Polignac number, because 101130211303 - 221 = 101128114151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101130211103) 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 47 ways as a sum of consecutive naturals, for example, 34907151 + ... + 34910047.

It is an arithmetic number, because the mean of its divisors is an integer number (2491120800).

Almost surely, 2101130211303 is an apocalyptic number.

101130211303 is a deficient number, since it is larger than the sum of its proper divisors (18443587097).

101130211303 is a wasteful number, since it uses less digits than its factorization.

101130211303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101130211303 its reverse (303112031101), we get a palindrome (404242242404).

The spelling of 101130211303 in words is "one hundred one billion, one hundred thirty million, two hundred eleven thousand, three hundred three".

Divisors: 1 11 17 79 139 187 289 869 1343 1529 2363 2897 3179 10981 14773 22831 25993 31867 40171 49249 120791 186677 228863 251141 402683 441881 541739 837233 2053447 2517493 3173509 3890671 4429513 6845611 9209563 31811957 34908599 42797381 66141407 75301721 116375387 349931527 540803269 727555477 1280129257 5948835959 9193655573 101130211303