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103031021302011 = 321117393115573307
BaseRepresentation
bin10111011011010011000111…
…011011001111000011111011
3111111210200002000122020002100
4113123103013123033003323
5102001030012423131021
61003043444152234443
730462513520130145
oct2733230733170373
9444720060566070
10103031021302011
112a91323556a230
12b68012869ba23
134564a257c604a
141b62a29a47c95
15bda11762a626
hex5db4c76cf0fb

103031021302011 has 48 divisors (see below), whose sum is σ = 171945765733248. Its totient is φ = 58754968876800.

The previous prime is 103031021302009. The next prime is 103031021302019. The reversal of 103031021302011 is 110203120130301.

103031021302011 is a `hidden beast` number, since 1 + 0 + 30 + 310 + 21 + 302 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 103031021302011 - 21 = 103031021302009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103031021302019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170781 + ... + 14402526.

It is an arithmetic number, because the mean of its divisors is an integer number (3582203452776).

Almost surely, 2103031021302011 is an apocalyptic number.

103031021302011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103031021302011 is a deficient number, since it is larger than the sum of its proper divisors (68914744431237).

103031021302011 is a wasteful number, since it uses less digits than its factorization.

103031021302011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15577272 (or 15577269 counting only the distinct ones).

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

Adding to 103031021302011 its reverse (110203120130301), we get a palindrome (213234141432312).

The spelling of 103031021302011 in words is "one hundred three trillion, thirty-one billion, twenty-one million, three hundred two thousand, eleven".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 3931 11793 35379 43241 66827 129723 200481 389169 601443 735097 2205291 6615873 15573307 46719921 140159763 171306377 264746219 513919131 794238657 1541757393 2382715971 2912208409 8736625227 26209875681 61218669817 183656009451 550968028353 673405367987 1040717386889 2020216103961 3122152160667 6060648311883 9366456482001 11447891255779 34343673767337 103031021302011