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103411434231 = 3271796555961
BaseRepresentation
bin110000001001111001…
…1010100001011110111
3100212220220212011020200
41200103303110023313
53143241311343411
6115301225531543
710320426454620
oct1402363241367
9325826764220
10103411434231
113a947071136
1218060343bb3
1399a0509b91
145010166a47
152a5399ee56
hex1813cd42f7

103411434231 has 24 divisors (see below), whose sum is σ = 180752760864. Its totient is φ = 55616232960.

The previous prime is 103411434211. The next prime is 103411434239. The reversal of 103411434231 is 132434114301.

103411434231 is a `hidden beast` number, since 10 + 3 + 411 + 4 + 3 + 4 + 231 = 666.

It is not a de Polignac number, because 103411434231 - 210 = 103411433207 is a prime.

It is a super-2 number, since 2×1034114342312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103411434195 and 103411434204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103411434239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48276910 + ... + 48279051.

It is an arithmetic number, because the mean of its divisors is an integer number (7531365036).

Almost surely, 2103411434231 is an apocalyptic number.

103411434231 is a deficient number, since it is larger than the sum of its proper divisors (77341326633).

103411434231 is a wasteful number, since it uses less digits than its factorization.

103411434231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96555991 (or 96555988 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103411434231 its reverse (132434114301), we get a palindrome (235845548532).

The spelling of 103411434231 in words is "one hundred three billion, four hundred eleven million, four hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 96555961 289667883 675891727 869003649 1641451337 2027675181 4924354011 6083025543 11490159359 14773062033 34470478077 103411434231