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141107760100 = 22521411077601
BaseRepresentation
bin1000001101101010101…
…1011000101111100100
3111111020001010220221001
42003122223120233210
54302442041310400
6144453553003044
713123532112406
oct2033253305744
9444201126831
10141107760100
115493071975a
1223420853484
13103ca22bb48
146b887cab76
153a0d0dba6a
hex20daad8be4

141107760100 has 18 divisors (see below), whose sum is σ = 306203839634. Its totient is φ = 56443104000.

The previous prime is 141107760097. The next prime is 141107760107. The reversal of 141107760100 is 1067701141.

141107760100 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 3 ways, for example, as 47221897636 + 93885862464 = 217306^2 + 306408^2 .

It is a super-2 number, since 2×1411077601002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141107760107) 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 5 ways as a sum of consecutive naturals, for example, 705538701 + ... + 705538900.

Almost surely, 2141107760100 is an apocalyptic number.

141107760100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141107760100 is an abundant number, since it is smaller than the sum of its proper divisors (165096079534).

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

141107760100 is a wasteful number, since it uses less digits than its factorization.

141107760100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411077615 (or 1411077608 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

The spelling of 141107760100 in words is "one hundred forty-one billion, one hundred seven million, seven hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1411077601 2822155202 5644310404 7055388005 14110776010 28221552020 35276940025 70553880050 141107760100