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103430434131 = 3223839595547
BaseRepresentation
bin110000001010011101…
…1110010110101010011
3100212222020121110012200
41200110323302311103
53143311142343011
6115303145054243
710321050120123
oct1402473626523
9325866543180
10103430434131
113a956869032
1218066787383
1399a443001b
1450128b0c83
152a554a4856
hex1814ef2d53

103430434131 has 24 divisors (see below), whose sum is σ = 156081219840. Its totient is φ = 65876916336.

The previous prime is 103430434103. The next prime is 103430434153. The reversal of 103430434131 is 131434034301.

103430434131 is a `hidden beast` number, since 10 + 3 + 4 + 304 + 341 + 3 + 1 = 666.

It is not a de Polignac number, because 103430434131 - 213 = 103430425939 is a prime.

It is a super-2 number, since 2×1034304341312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103430434095 and 103430434104.

It is not an unprimeable number, because it can be changed into a prime (103430434171) 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, 124101 + ... + 471446.

It is an arithmetic number, because the mean of its divisors is an integer number (6503384160).

Almost surely, 2103430434131 is an apocalyptic number.

103430434131 is a deficient number, since it is larger than the sum of its proper divisors (52650785709).

103430434131 is a wasteful number, since it uses less digits than its factorization.

103430434131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596415 (or 596412 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 103430434131 its reverse (131434034301), we get a palindrome (234864468432).

The spelling of 103430434131 in words is "one hundred three billion, four hundred thirty million, four hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 23 69 207 839 2517 7551 19297 57891 173673 595547 1786641 5359923 13697581 41092743 123278229 499663933 1498991799 4496975397 11492270459 34476811377 103430434131