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103011131311 = 11293162119717
BaseRepresentation
bin101111111101111110…
…0010001111110101111
3100211220000121122212121
41133323330101332233
53141431322200221
6115153410013411
710304466111664
oct1377374217657
9324800548777
10103011131311
113a761109680
1217b6a277267
1399385c074a
144db2d23a6b
152a2d77ba41
hex17fbf11faf

103011131311 has 16 divisors (see below), whose sum is σ = 112834598688. Its totient is φ = 93264566400.

The previous prime is 103011131299. The next prime is 103011131323. The reversal of 103011131311 is 113131110301.

It is an interprime number because it is at equal distance from previous prime (103011131299) and next prime (103011131323).

It is a cyclic number.

It is not a de Polignac number, because 103011131311 - 219 = 103010607023 is a prime.

It is a super-2 number, since 2×1030111313112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011131011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5214625 + ... + 5234341.

It is an arithmetic number, because the mean of its divisors is an integer number (7052162418).

Almost surely, 2103011131311 is an apocalyptic number.

103011131311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103011131311 is a deficient number, since it is larger than the sum of its proper divisors (9823467377).

103011131311 is a wasteful number, since it uses less digits than its factorization.

103011131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21642.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 103011131311 its reverse (113131110301), we get a palindrome (216142241612).

The spelling of 103011131311 in words is "one hundred three billion, eleven million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 11 293 1621 3223 17831 19717 216887 474953 5224483 5777081 31961257 63547891 351573827 9364648301 103011131311