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10171684941 = 3111926176199
BaseRepresentation
bin10010111100100011…
…11001100001001101
3222020212211010120220
421132101321201031
5131312422404231
64401154301553
7510030616065
oct113621714115
928225733526
1010171684941
11434a7184a0
121b7a5878b9
13c6143c6b2
146c6c943a5
153e7ec2896
hex25e47984d

10171684941 has 32 divisors (see below), whose sum is σ = 15582336000. Its totient is φ = 5837028480.

The previous prime is 10171684937. The next prime is 10171684949. The reversal of 10171684941 is 14948617101.

10171684941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10171684941 - 22 = 10171684937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10171684893 and 10171684902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10171684949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1637760 + ... + 1643958.

It is an arithmetic number, because the mean of its divisors is an integer number (486948000).

Almost surely, 210171684941 is an apocalyptic number.

10171684941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10171684941 is a deficient number, since it is larger than the sum of its proper divisors (5410651059).

10171684941 is a wasteful number, since it uses less digits than its factorization.

10171684941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849.

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 10171684941 in words is "ten billion, one hundred seventy-one million, six hundred eighty-four thousand, nine hundred forty-one".

Divisors: 1 3 11 19 33 57 209 627 2617 6199 7851 18597 28787 49723 68189 86361 117781 149169 204567 353343 546953 1295591 1640859 3886773 16222783 48668349 178450613 308232877 535351839 924698631 3390561647 10171684941