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10103241040 = 245295742709
BaseRepresentation
bin10010110100011001…
…10011100101010000
3222002010000211012121
421122030303211100
5131142412203130
64350311304024
7505240063144
oct113214634520
928063024177
1010103241040
11431501a592
121b5b67b014
13c501c7249
146bbb59224
153e1ea2d7a
hex25a333950

10103241040 has 40 divisors (see below), whose sum is σ = 23498529480. Its totient is φ = 4039835136.

The previous prime is 10103241019. The next prime is 10103241041. The reversal of 10103241040 is 4014230101.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 10101858064 = 1176^2 + 100508^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103241041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215206 + ... + 257914.

It is an arithmetic number, because the mean of its divisors is an integer number (587463237).

Almost surely, 210103241040 is an apocalyptic number.

10103241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103241040 is an abundant number, since it is smaller than the sum of its proper divisors (13395288440).

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

10103241040 is a wasteful number, since it uses less digits than its factorization.

10103241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45679 (or 45673 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10103241040 its reverse (4014230101), we get a palindrome (14117471141).

The spelling of 10103241040 in words is "ten billion, one hundred three million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2957 5914 11828 14785 23656 29570 42709 47312 59140 85418 118280 170836 213545 236560 341672 427090 683344 854180 1708360 3416720 126290513 252581026 505162052 631452565 1010324104 1262905130 2020648208 2525810260 5051620520 10103241040