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101403131144 = 2372409632473
BaseRepresentation
bin101111001110000011…
…0001111110100001000
3100200201221212210022212
41132130012033310020
53130133200144034
6114330045004252
710216602251600
oct1363406176410
9320657783285
10101403131144
113a006473317
121779b853688
139740416463
144c9d549c00
1529874ec2ce
hex179c18fd08

101403131144 has 48 divisors (see below), whose sum is σ = 221713760700. Its totient is φ = 43352160768.

The previous prime is 101403131143. The next prime is 101403131153. The reversal of 101403131144 is 441131304101.

It can be written as a sum of positive squares in 2 ways, for example, as 101397664900 + 5466244 = 318430^2 + 2338^2 .

It is not an unprimeable number, because it can be changed into a prime (101403131143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155909 + ... + 476564.

Almost surely, 2101403131144 is an apocalyptic number.

101403131144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101403131144 is an abundant number, since it is smaller than the sum of its proper divisors (120310629556).

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

101403131144 is a wasteful number, since it uses less digits than its factorization.

101403131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632902 (or 632891 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101403131144 its reverse (441131304101), we get a palindrome (542534435245).

The spelling of 101403131144 in words is "one hundred one billion, four hundred three million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 409 818 1636 2863 3272 5726 11452 20041 22904 40082 80164 160328 632473 1264946 2529892 4427311 5059784 8854622 17709244 30991177 35418488 61982354 123964708 247929416 258681457 517362914 1034725828 1810770199 2069451656 3621540398 7243080796 12675391393 14486161592 25350782786 50701565572 101403131144