Search a number
-
+
10201344142 = 2115913757367
BaseRepresentation
bin10011000000000110…
…00010100010001110
3222022221121222100211
421200003002202032
5131343021003032
64404134113034
7510540665053
oct114003024216
928287558324
1010201344142
114365435930
121b884ab77a
13c67625512
146cabb502a
153ea8d0747
hex2600c288e

10201344142 has 32 divisors (see below), whose sum is σ = 17100253440. Its totient is φ = 4525030080.

The previous prime is 10201344121. The next prime is 10201344143. The reversal of 10201344142 is 24144310201.

It is a happy number.

It is a super-3 number, since 3×102013441423 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201344143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149143 + ... + 206509.

It is an arithmetic number, because the mean of its divisors is an integer number (534382920).

Almost surely, 210201344142 is an apocalyptic number.

10201344142 is a deficient number, since it is larger than the sum of its proper divisors (6898909298).

10201344142 is a wasteful number, since it uses less digits than its factorization.

10201344142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57576.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10201344142 its reverse (24144310201), we get a palindrome (34345654343).

The spelling of 10201344142 in words is "ten billion, two hundred one million, three hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 11 22 59 118 137 274 649 1298 1507 3014 8083 16166 57367 88913 114734 177826 631037 1262074 3384653 6769306 7859279 15718558 37231183 74462366 86452069 172904138 463697461 927394922 5100672071 10201344142