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13103110131111 = 327211131712222241
BaseRepresentation
bin1011111010101100111000…
…1110011000110110100111
31201101122102021101220100100
42332223032032120312213
53204140132143143421
643511252524315143
72521445166301500
oct276531616306647
951348367356310
1013103110131111
1141a1aa8087390
1215775790a2ab3
1374080592c310
143342a0159ba7
1517ac9696bc26
hexbeace398da7

13103110131111 has 144 divisors (see below), whose sum is σ = 27387404317728. Its totient is φ = 5913608601600.

The previous prime is 13103110131071. The next prime is 13103110131119. The reversal of 13103110131111 is 11113101130131.

13103110131111 is a `hidden beast` number, since 1 + 31 + 0 + 311 + 0 + 1 + 311 + 11 = 666.

It is not a de Polignac number, because 13103110131111 - 26 = 13103110131047 is a prime.

It is a super-2 number, since 2×131031101311112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103110131119) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5039050 + ... + 7183191.

It is an arithmetic number, because the mean of its divisors is an integer number (190190307762).

Almost surely, 213103110131111 is an apocalyptic number.

13103110131111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13103110131111 is an abundant number, since it is smaller than the sum of its proper divisors (14284294186617).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13103110131111 is a wasteful number, since it uses less digits than its factorization.

13103110131111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12222302 (or 12222292 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 13103110131111 its reverse (11113101130131), we get a palindrome (24216211261242).

The spelling of 13103110131111 in words is "thirteen trillion, one hundred three billion, one hundred ten million, one hundred thirty-one thousand, one hundred eleven".

Divisors: 1 3 7 9 11 13 17 21 33 39 49 51 63 77 91 99 117 119 143 147 153 187 221 231 273 357 429 441 539 561 637 663 693 819 833 1001 1071 1287 1309 1547 1617 1683 1911 1989 2431 2499 3003 3927 4641 4851 5733 7007 7293 7497 9009 9163 10829 11781 13923 17017 21021 21879 27489 32487 51051 63063 82467 97461 119119 153153 357357 1072071 12222241 36666723 85555687 110000169 134444651 158889133 207778097 256667061 403333953 476667399 598889809 623334291 770001183 941112557 1112223931 1210001859 1430002197 1454446679 1747780463 1796669427 1870002873 2285559067 2701115261 2823337671 3336671793 4363340037 5243341389 5390008281 6587787899 6856677201 7785567517 8103345783 8470013013 10010015379 10181126753 12234463241 13090020111 15730024167 15998913469 18907806827 19763363697 20570031603 23356702551 24310037349 29712267871 30543380259 36703389723 47996740407 56723420481 59290091091 70070107653 85641242687 89136803613 91630140777 110110169169 111992394283 132354647789 143990221221 170170261443 207985875097 256923728061 267410410839 335977182849 397063943367 623957625291 770771184183 1007931548547 1191191830101 1455901125679 1871872875873 4367703377037 13103110131111