Search a number
-
+
125004440001 = 3717805343481
BaseRepresentation
bin111010001101011011…
…0000110000111000001
3102221122202220111121010
41310122312012013001
54022002114040001
6133232022551133
712013504131330
oct1643266060701
9387582814533
10125004440001
1149017824a51
12202878984a9
13ba31c3bb7c
14609bc41d17
1533b94d78d6
hex1d1ad861c1

125004440001 has 32 divisors (see below), whose sum is σ = 201717520128. Its totient is φ = 67219384320.

The previous prime is 125004439991. The next prime is 125004440009. The reversal of 125004440001 is 100044400521.

It is a happy number.

It is not a de Polignac number, because 125004440001 - 221 = 125002342849 is a prime.

It is a super-2 number, since 2×1250044400012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 125004440001.

It is not an unprimeable number, because it can be changed into a prime (125004440009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2853181 + ... + 2896661.

It is an arithmetic number, because the mean of its divisors is an integer number (6303672504).

Almost surely, 2125004440001 is an apocalyptic number.

It is an amenable number.

125004440001 is a deficient number, since it is larger than the sum of its proper divisors (76713080127).

125004440001 is a wasteful number, since it uses less digits than its factorization.

125004440001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51561.

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 125004440001 its reverse (100044400521), we get a palindrome (225048840522).

The spelling of 125004440001 in words is "one hundred twenty-five billion, four million, four hundred forty thousand, one".

Divisors: 1 3 7 17 21 51 119 357 8053 24159 43481 56371 130443 136901 169113 304367 410703 739177 913101 958307 2217531 2874921 5174239 15522717 350152493 1050457479 2451067451 5952592381 7353202353 17857777143 41668146667 125004440001