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141061105000 = 235428212221
BaseRepresentation
bin1000001101011111100…
…1011010010101101000
3111111002210100121011101
42003113321122111220
54302343120330000
6144445205011144
713122424415614
oct2032771322550
9444083317141
10141061105000
1154907353022
12234090b3ab4
13103c067508a
146b82524344
153a08e72e6a
hex20d7e5a568

141061105000 has 40 divisors (see below), whose sum is σ = 330506180730. Its totient is φ = 56424440000.

The previous prime is 141061104997. The next prime is 141061105001. The reversal of 141061105000 is 501160141.

141061105000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 7209028836 + 133852076164 = 84906^2 + 365858^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (141061105001) 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 9 ways as a sum of consecutive naturals, for example, 14101111 + ... + 14111110.

Almost surely, 2141061105000 is an apocalyptic number.

141061105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141061105000 is an abundant number, since it is smaller than the sum of its proper divisors (189445075730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141061105000 is an equidigital number, since it uses as much as digits as its factorization.

141061105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28212247 (or 28212228 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 141061105000 its reverse (501160141), we get a palindrome (141562265141).

The spelling of 141061105000 in words is "one hundred forty-one billion, sixty-one million, one hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 28212221 56424442 112848884 141061105 225697768 282122210 564244420 705305525 1128488840 1410611050 2821222100 3526527625 5642444200 7053055250 14106110500 17632638125 28212221000 35265276250 70530552500 141061105000