Search a number
-
+
101403104130 = 232510111155457
BaseRepresentation
bin101111001110000011…
…0001001001110000010
3100200201221211102021100
41132130012021032002
53130133143313010
6114330044235230
710216602110046
oct1363406111602
9320657742240
10101403104130
113a006454a99
121779b83bb16
139740407083
144c9d540026
1529874e42c0
hex179c189382

101403104130 has 48 divisors (see below), whose sum is σ = 266258471544. Its totient is φ = 26773094400.

The previous prime is 101403104119. The next prime is 101403104137. The reversal of 101403104130 is 31401304101.

It can be written as a sum of positive squares in 4 ways, for example, as 80200540809 + 21202563321 = 283197^2 + 145611^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101403104137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5568639 + ... + 5586818.

Almost surely, 2101403104130 is an apocalyptic number.

101403104130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101403104130 is an abundant number, since it is smaller than the sum of its proper divisors (164855367414).

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

101403104130 is a wasteful number, since it uses less digits than its factorization.

101403104130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11155571 (or 11155568 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101403104130 its reverse (31401304101), we get a palindrome (132804408231).

The spelling of 101403104130 in words is "one hundred one billion, four hundred three million, one hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 11155457 22310914 33466371 55777285 66932742 100399113 111554570 167331855 200798226 334663710 501995565 1003991130 1126701157 2253402314 3380103471 5633505785 6760206942 10140310413 11267011570 16900517355 20280620826 33801034710 50701552065 101403104130