Search a number
-
+
101404432421 = 1721119731337
BaseRepresentation
bin101111001110000101…
…1001101100000100101
3100200202001022220100022
41132130023031200211
53130134013314141
6114330132524525
710216616311445
oct1363413154045
9320661286308
10101404432421
113a007181a56
12177a0180745
139740780846
144c9d7a8125
1529876a7b4b
hex179c2cd825

101404432421 has 12 divisors (see below), whose sum is σ = 107733337668. Its totient is φ = 95427896832.

The previous prime is 101404432331. The next prime is 101404432427. The reversal of 101404432421 is 124234404101.

It can be written as a sum of positive squares in 6 ways, for example, as 18221220196 + 83183212225 = 134986^2 + 288415^2 .

It is not a de Polignac number, because 101404432421 - 222 = 101400238117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101404432427) 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, 3220265 + ... + 3251601.

It is an arithmetic number, because the mean of its divisors is an integer number (8977778139).

Almost surely, 2101404432421 is an apocalyptic number.

It is an amenable number.

101404432421 is a deficient number, since it is larger than the sum of its proper divisors (6328905247).

101404432421 is a wasteful number, since it uses less digits than its factorization.

101404432421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42568 (or 42551 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 101404432421 its reverse (124234404101), we get a palindrome (225638836522).

The spelling of 101404432421 in words is "one hundred one billion, four hundred four million, four hundred thirty-two thousand, four hundred twenty-one".

Divisors: 1 17 289 11197 31337 190349 532729 3235933 9056393 350880389 5964966613 101404432421