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103561303541 = 31101115328687
BaseRepresentation
bin110000001110010111…
…1000001010111110101
3100220022100212022021212
41200130233001113311
53144043143203131
6115324142051205
710324226361443
oct1403457012765
9326270768255
10103561303541
113aa13724173
12180a2579b05
1399c5591447
145026019b93
152a61c05a2b
hex181cbc15f5

103561303541 has 16 divisors (see below), whose sum is σ = 108057827328. Its totient is φ = 99138816000.

The previous prime is 103561303523. The next prime is 103561303543. The reversal of 103561303541 is 145303165301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103561303541 is a prime.

It is a super-3 number, since 3×1035613035413 (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 junction number, because it is equal to n+sod(n) for n = 103561303498 and 103561303507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103561303543) 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, 3595700 + ... + 3624386.

It is an arithmetic number, because the mean of its divisors is an integer number (6753614208).

Almost surely, 2103561303541 is an apocalyptic number.

It is an amenable number.

103561303541 is a deficient number, since it is larger than the sum of its proper divisors (4496523787).

103561303541 is a wasteful number, since it uses less digits than its factorization.

103561303541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29972.

The product of its (nonzero) digits is 16200, while the sum is 32.

Adding to 103561303541 its reverse (145303165301), we get a palindrome (248864468842).

The spelling of 103561303541 in words is "one hundred three billion, five hundred sixty-one million, three hundred three thousand, five hundred forty-one".

Divisors: 1 31 101 1153 3131 28687 35743 116453 889297 2897387 3610043 33076111 89818997 1025359441 3340687211 103561303541