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1110310130111 = 71319798219901
BaseRepresentation
bin10000001010000011101…
…001000001000110111111
310221010220102101122101112
4100022003221001012333
5121142403343130421
62210022555232235
7143134343246630
oct20120351010677
93833812348345
101110310130111
11398975139386
1215b22874867b
1380917acc390
143ba4c8b9887
151dd35bbe45b
hex10283a411bf

1110310130111 has 64 divisors (see below), whose sum is σ = 1458588364800. Its totient is φ = 820632384000.

The previous prime is 1110310130077. The next prime is 1110310130207.

1110310130111 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1110310130111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110310132111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112136261 + ... + 112146161.

It is an arithmetic number, because the mean of its divisors is an integer number (22790443200).

Almost surely, 21110310130111 is an apocalyptic number.

1110310130111 is a deficient number, since it is larger than the sum of its proper divisors (348278234689).

1110310130111 is a wasteful number, since it uses less digits than its factorization.

1110310130111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10840.

The product of its (nonzero) digits is 9, while the sum is 14.

It can be divided in two parts, 1110310 and 130111, that added together give a palindrome (1240421).

The spelling of 1110310130111 in words is "one trillion, one hundred ten billion, three hundred ten million, one hundred thirty thousand, one hundred eleven".

Divisors: 1 7 13 19 79 91 133 247 553 821 1027 1501 1729 5747 7189 9901 10507 10673 15599 19513 64859 69307 74711 109193 128713 136591 188119 202787 454013 782179 843167 900991 1232321 1316833 1419509 2445547 5475253 5902169 8128721 8626247 10168327 14861401 16020173 17118829 56901047 71178289 104029807 105673373 112141211 154445699 193198213 642168959 739713611 1081119893 1352387491 2007794087 4495182713 8348196467 12201210221 14054558609 58437375269 85408471547 158615732873 1110310130111