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141101101141 = 721113171184539
BaseRepresentation
bin1000001101101001000…
…1111111000001010101
3111111012120121121112221
42003122101333001111
54302433340214031
6144453154142341
713123421366500
oct2033221770125
9444176547487
10141101101141
1154927990790
122341a5819b1
13103c8a39c30
146b87976137
153a0c723a11
hex20da47f055

141101101141 has 48 divisors (see below), whose sum is σ = 204176790720. Its totient is φ = 95521144320.

The previous prime is 141101101139. The next prime is 141101101153.

141101101141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 141101101141 - 21 = 141101101139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141101101121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473151 + ... + 711388.

It is an arithmetic number, because the mean of its divisors is an integer number (4253683140).

Almost surely, 2141101101141 is an apocalyptic number.

141101101141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141101101141 is a deficient number, since it is larger than the sum of its proper divisors (63075689579).

141101101141 is a wasteful number, since it uses less digits than its factorization.

141101101141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184594 (or 1184587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

It can be divided in two parts, 141101 and 101141, that added together give a palindrome (242242).

The spelling of 141101101141 in words is "one hundred forty-one billion, one hundred one million, one hundred one thousand, one hundred forty-one".

Divisors: 1 7 11 13 17 49 77 91 119 143 187 221 539 637 833 1001 1309 1547 2431 7007 9163 10829 17017 119119 1184539 8291773 13029929 15399007 20137163 58042411 91209503 107793049 140960141 169389077 221508793 261783119 638466521 754551343 986720987 1185723539 1550561551 1832481833 2879614309 8300064773 10853930857 12827372831 20157300163 141101101141