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10171141160 = 235254278529
BaseRepresentation
bin10010111100011111…
…10100110000101000
3222020211210111122212
421132033310300220
5131312303004120
64401134504252
7510023162525
oct113617646050
928224714585
1010171141160
11434a386994
121b7a365088
13c612ac02b
146c6b9214c
153e7e166c5
hex25e3f4c28

10171141160 has 16 divisors (see below), whose sum is σ = 22885067700. Its totient is φ = 4068456448.

The previous prime is 10171141153. The next prime is 10171141163. The reversal of 10171141160 is 6114117101.

10171141160 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 2 ways, for example, as 9620863396 + 550277764 = 98086^2 + 23458^2 .

It is a super-2 number, since 2×101711411602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10171141163) 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 3 ways as a sum of consecutive naturals, for example, 127139225 + ... + 127139304.

Almost surely, 210171141160 is an apocalyptic number.

10171141160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10171141160 is an abundant number, since it is smaller than the sum of its proper divisors (12713926540).

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

10171141160 is a wasteful number, since it uses less digits than its factorization.

10171141160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254278540 (or 254278536 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 10171141160 its reverse (6114117101), we get a palindrome (16285258261).

The spelling of 10171141160 in words is "ten billion, one hundred seventy-one million, one hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 254278529 508557058 1017114116 1271392645 2034228232 2542785290 5085570580 10171141160