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141181181141 = 7113132235227
BaseRepresentation
bin1000001101111100001…
…1011101110011010101
3111111102011022002122212
42003133003131303111
54303114340244031
6144505134403205
713125413145050
oct2033703356325
9444364262585
10141181181141
1154969107000
1223441360505
131040c4c7850
146b9445da97
153a1479112b
hex20df0ddcd5

141181181141 has 64 divisors (see below), whose sum is σ = 192018333696. Its totient is φ = 101074184640.

The previous prime is 141181181123. The next prime is 141181181143.

141181181141 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-141181181141 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 141181181098 and 141181181107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141181181143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27007370 + ... + 27012596.

It is an arithmetic number, because the mean of its divisors is an integer number (3000286464).

Almost surely, 2141181181141 is an apocalyptic number.

141181181141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141181181141 is a deficient number, since it is larger than the sum of its proper divisors (50837152555).

141181181141 is a wasteful number, since it uses less digits than its factorization.

141181181141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5481 counting only the distinct ones).

The product of its digits is 1024, while the sum is 32.

The spelling of 141181181141 in words is "one hundred forty-one billion, one hundred eighty-one million, one hundred eighty-one thousand, one hundred forty-one".

Divisors: 1 7 11 13 77 91 121 143 223 847 1001 1331 1561 1573 2453 2899 5227 9317 11011 17171 17303 20293 26983 31889 36589 57497 67951 121121 188881 223223 296813 350779 402479 475657 632467 747461 1165621 2077691 2455453 3858569 4427269 5232227 6957137 8159347 8222071 12821831 15153073 27009983 48699959 57554497 89752817 90442781 106071511 141040141 166683803 633099467 987280987 1166786621 1551441551 1833521833 10860090857 12834652831 20168740163 141181181141