Search a number
-
+
10104102144 = 28324385461
BaseRepresentation
bin10010110100100000…
…00101110100000000
3222002011122120102100
421122100011310000
5131143122232034
64350341550400
7505250310513
oct113220056400
928064576370
1010104102144
114315558544
121b5ba15400
13c50439186
146bbd00d7a
153e20c3099
hex25a405d00

10104102144 has 54 divisors (see below), whose sum is σ = 29132624066. Its totient is φ = 3368033280.

The previous prime is 10104102143. The next prime is 10104102187. The reversal of 10104102144 is 44120140101.

It can be written as a sum of positive squares in only one way, i.e., 10102662144 + 1440000 = 100512^2 + 1200^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104102143) 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 5 ways as a sum of consecutive naturals, for example, 2190427 + ... + 2195034.

Almost surely, 210104102144 is an apocalyptic number.

It is an amenable number.

10104102144 is an abundant number, since it is smaller than the sum of its proper divisors (19028521922).

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

10104102144 is an equidigital number, since it uses as much as digits as its factorization.

10104102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385483 (or 4385466 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10104102144 its reverse (44120140101), we get a palindrome (54224242245).

The spelling of 10104102144 in words is "ten billion, one hundred four million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4385461 8770922 13156383 17541844 26312766 35083688 39469149 52625532 70167376 78938298 105251064 140334752 157876596 210502128 280669504 315753192 421004256 561339008 631506384 842008512 1122678016 1263012768 1684017024 2526025536 3368034048 5052051072 10104102144