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103423342020141 = 3111326124983773
BaseRepresentation
bin10111100001000000011111…
…100100000000011000101101
3111120012011201112021122202010
4113201000133210000120231
5102023442001024121031
61003544005530551433
730533042554200243
oct2741003744003055
9446164645248663
10103423342020141
112aa54658369490
12b724177b98579
134592a19194300
141b77a05d8a793
15be5429c7b246
hex5e101f90062d

103423342020141 has 72 divisors (see below), whose sum is σ = 165610172096928. Its totient is φ = 56910689222400.

The previous prime is 103423342020113. The next prime is 103423342020149. The reversal of 103423342020141 is 141020243324301.

It is not a de Polignac number, because 103423342020141 - 25 = 103423342020109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103423342020099 and 103423342020108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103423342020149) 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 71 ways as a sum of consecutive naturals, for example, 18260131 + ... + 23243903.

It is an arithmetic number, because the mean of its divisors is an integer number (2300141279124).

Almost surely, 2103423342020141 is an apocalyptic number.

103423342020141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103423342020141 is a deficient number, since it is larger than the sum of its proper divisors (62186830076787).

103423342020141 is a wasteful number, since it uses less digits than its factorization.

103423342020141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983935 (or 4983861 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 103423342020141 its reverse (141020243324301), we get a palindrome (244443585344442).

The spelling of 103423342020141 in words is "one hundred three trillion, four hundred twenty-three billion, three hundred forty-two million, twenty thousand, one hundred forty-one".

Divisors: 1 3 11 13 33 39 61 143 169 183 429 507 671 793 1859 2013 2379 3721 5577 8723 10309 11163 26169 30927 40931 48373 113399 122793 145119 340197 532103 628849 1596309 1886547 4983773 6917339 14951319 20752017 54821503 64789049 164464509 194367147 304010153 712679539 842257637 912030459 2138038617 2526772911 3344111683 3952131989 9264834007 10032335049 11856395967 18544619333 27794502021 43473451879 51377715857 55633857999 130420355637 154133147571 203990812663 241080051329 565154874427 611972437989 723240153987 1695464623281 2651880564619 3134040667277 7955641693857 9402122001831 34474447340047 103423342020141