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101842424181 = 3211315824909
BaseRepresentation
bin101111011011001001…
…0000001000101110101
3100201212120111012002100
41132312102001011311
53132033130033211
6114441420332313
710233515215401
oct1366622010565
9321776435070
10101842424181
113a211436713
12178a29a4099
1397b0434874
144d01a1c101
1529b0d73156
hex17b6481175

101842424181 has 6 divisors (see below), whose sum is σ = 147105723830. Its totient is φ = 67894949448.

The previous prime is 101842424179. The next prime is 101842424219. The reversal of 101842424181 is 181424248101.

It is a happy number.

101842424181 is a `hidden beast` number, since 1 + 0 + 18 + 42 + 424 + 181 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101118276081 + 724148100 = 317991^2 + 26910^2 .

It is not a de Polignac number, because 101842424181 - 21 = 101842424179 is a prime.

It is a super-2 number, since 2×1018424241812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101842424581) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5657912446 + ... + 5657912463.

Almost surely, 2101842424181 is an apocalyptic number.

It is an amenable number.

101842424181 is a deficient number, since it is larger than the sum of its proper divisors (45263299649).

101842424181 is a wasteful number, since it uses less digits than its factorization.

101842424181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11315824915 (or 11315824912 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 101842424181 in words is "one hundred one billion, eight hundred forty-two million, four hundred twenty-four thousand, one hundred eighty-one".

Divisors: 1 3 9 11315824909 33947474727 101842424181