Search a number
-
+
10144167700 = 2252101441677
BaseRepresentation
bin10010111001010001…
…11011011100010100
3222011222001010000211
421130220323130110
5131233401331300
64354332415204
7506245000642
oct113450733424
928158033024
1010144167700
114336133377
121b71317504
13c588267c4
146c3370192
153e58894ba
hex25ca3b714

10144167700 has 18 divisors (see below), whose sum is σ = 22012844126. Its totient is φ = 4057667040.

The previous prime is 10144167661. The next prime is 10144167701. The reversal of 10144167700 is 776144101.

10144167700 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 35473936 + 10108693764 = 5956^2 + 100542^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144167701) 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 5 ways as a sum of consecutive naturals, for example, 50720739 + ... + 50720938.

Almost surely, 210144167700 is an apocalyptic number.

10144167700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144167700 is an abundant number, since it is smaller than the sum of its proper divisors (11868676426).

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

10144167700 is a wasteful number, since it uses less digits than its factorization.

10144167700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101441691 (or 101441684 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 10144167700 in words is "ten billion, one hundred forty-four million, one hundred sixty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101441677 202883354 405766708 507208385 1014416770 2028833540 2536041925 5072083850 10144167700