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103121113323123 = 347355095121841
BaseRepresentation
bin10111011100100111000001…
…010101000001011001110011
3111112010021121200200002110000
4113130213001111001121303
5102004014020002314443
61003153104021041043
730502153214514630
oct2734470125013163
9445107550602400
10103121113323123
112a948467122125
12b695690256183
1345703826c718c
141b67134c5b187
15bdc63bad28d3
hex5dc9c1541673

103121113323123 has 40 divisors (see below), whose sum is σ = 176056557918560. Its totient is φ = 58924679489280.

The previous prime is 103121113323121. The next prime is 103121113323169. The reversal of 103121113323123 is 321323311121301.

103121113323123 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 1 + 11 + 332 + 312 + 3 = 666.

It is not a de Polignac number, because 103121113323123 - 21 = 103121113323121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103121113323121) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 17572683 + ... + 22694523.

It is an arithmetic number, because the mean of its divisors is an integer number (4401413947964).

Almost surely, 2103121113323123 is an apocalyptic number.

103121113323123 is a deficient number, since it is larger than the sum of its proper divisors (72935444595437).

103121113323123 is an equidigital number, since it uses as much as digits as its factorization.

103121113323123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157369 (or 5157360 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 103121113323123 its reverse (321323311121301), we get a palindrome (424444424444424).

The spelling of 103121113323123 in words is "one hundred three trillion, one hundred twenty-one billion, one hundred thirteen million, three hundred twenty-three thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 81 189 567 35509 106527 248563 319581 745689 958743 2237067 2876229 5121841 6711201 15365523 20133603 35852887 46096569 107558661 138289707 322675983 414869121 968027949 2904083847 181871452069 545614356207 1273100164483 1636843068621 3819300493449 4910529205863 11457901480347 14731587617589 34373704441041 103121113323123