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1103140413011 = 713731371212121
BaseRepresentation
bin10000000011011000010…
…010101101111001010011
310220110101202022021111202
4100003120102231321103
5121033212421204021
62202435315301415
7142461563540420
oct20033022557123
93813352267452
101103140413011
1139592600584a
121599675aa86b
13800445b2b20
143b56c5c0d47
151da6652da0b
hex100d84ade53

1103140413011 has 32 divisors (see below), whose sum is σ = 1386357264768. Its totient is φ = 854573690880.

The previous prime is 1103140412951. The next prime is 1103140413029.

1103140413011 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1103140413011 is a prime.

It is a super-2 number, since 2×11031404130112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1103140413031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304031 + ... + 1516151.

It is an arithmetic number, because the mean of its divisors is an integer number (43323664524).

Almost surely, 21103140413011 is an apocalyptic number.

1103140413011 is a deficient number, since it is larger than the sum of its proper divisors (283216851757).

1103140413011 is a wasteful number, since it uses less digits than its factorization.

1103140413011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212351.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1103140 and 413011, that added together give a palindrome (1516151).

The spelling of 1103140413011 in words is "one trillion, one hundred three billion, one hundred forty million, four hundred thirteen thousand, eleven".

Divisors: 1 7 13 73 91 137 511 949 959 1781 6643 10001 12467 70007 130013 910091 1212121 8484847 15757573 88484833 110303011 166060577 619393831 1150302829 1162424039 2158787501 8052119803 12122422121 15111512507 84856954847 157591487573 1103140413011