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103563332431 = 13103115674931
BaseRepresentation
bin110000001110011011…
…0110000101101001111
3100220022111200101101221
41200130312300231033
53144044203114211
6115324253344211
710324252541536
oct1403466605517
9326274611357
10103563332431
113aa1488a539
12180a3198067
1399c5b21a80
1450263c731d
152a61ea6c71
hex181cdb0b4f

103563332431 has 16 divisors (see below), whose sum is σ = 111731816448. Its totient is φ = 95423896800.

The previous prime is 103563332423. The next prime is 103563332449. The reversal of 103563332431 is 134233365301.

It is a cyclic number.

It is not a de Polignac number, because 103563332431 - 23 = 103563332423 is a prime.

It is a super-3 number, since 3×1035633324313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103563332401) 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 15 ways as a sum of consecutive naturals, for example, 21000036 + ... + 21004966.

It is an arithmetic number, because the mean of its divisors is an integer number (6983238528).

Almost surely, 2103563332431 is an apocalyptic number.

103563332431 is a deficient number, since it is larger than the sum of its proper divisors (8168484017).

103563332431 is a wasteful number, since it uses less digits than its factorization.

103563332431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7542.

The product of its (nonzero) digits is 58320, while the sum is 34.

Adding to 103563332431 its reverse (134233365301), we get a palindrome (237796697732).

The spelling of 103563332431 in words is "one hundred three billion, five hundred sixty-three million, three hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 13 1031 1567 4931 13403 20371 64103 1615577 5083861 7726877 21002501 66090193 100449401 7966410187 103563332431