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103405130104455 = 325103166313415291
BaseRepresentation
bin10111100000101111100010…
…000011000011111010000111
3111120010102201022100111001100
4113200233202003003322013
5102023142201301320310
61003531354434231143
730531526343362164
oct2740574203037207
9446112638314040
10103405130104455
112aa479621a56a3
12b720734a254b3
1345910a6096c3a
141b76b9935906b
15be4c10eb2ec0
hex5e0be20c3e87

103405130104455 has 48 divisors (see below), whose sum is σ = 181084548243456. Its totient is φ = 54581126927040.

The previous prime is 103405130104433. The next prime is 103405130104481. The reversal of 103405130104455 is 554401031504301.

103405130104455 is a `hidden beast` number, since 1 + 0 + 3 + 40 + 513 + 0 + 10 + 44 + 55 = 666.

It is not a de Polignac number, because 103405130104455 - 27 = 103405130104327 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1000360 + ... + 14415650.

It is an arithmetic number, because the mean of its divisors is an integer number (3772594755072).

Almost surely, 2103405130104455 is an apocalyptic number.

103405130104455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103405130104455 is a deficient number, since it is larger than the sum of its proper divisors (77679418139001).

103405130104455 is a wasteful number, since it uses less digits than its factorization.

103405130104455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13417068 (or 13417065 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 103405130104455 its reverse (554401031504301), we get a palindrome (657806161608756).

The spelling of 103405130104455 in words is "one hundred three trillion, four hundred five billion, one hundred thirty million, one hundred four thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 45 103 309 515 927 1545 1663 4635 4989 8315 14967 24945 74835 171289 513867 856445 1541601 2569335 7708005 13415291 40245873 67076455 120737619 201229365 603688095 1381774973 4145324919 6908874865 12435974757 20726624595 22309628933 62179873785 66928886799 111548144665 200786660397 334644433995 1003933301985 2297891780099 6893675340297 11489458900495 20681026020891 34468376701485 103405130104455