Search a number
-
+
101443120401 = 3712373905113
BaseRepresentation
bin101111001111001111…
…0110010110100010001
3100200211202010110021110
41132132132302310101
53130223414323101
6114334034043533
710220566203420
oct1363636626421
9320752113243
10101443120401
113a026aa6897
12177b11195a9
1397487a813c
144ca49992b7
15298ac9acd6
hex179e7b2d11

101443120401 has 16 divisors (see below), whose sum is σ = 154704996224. Its totient is φ = 57920621184.

The previous prime is 101443120391. The next prime is 101443120417. The reversal of 101443120401 is 104021344101.

It is a de Polignac number, because none of the positive numbers 2k-101443120401 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101443124401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1926580 + ... + 1978533.

It is an arithmetic number, because the mean of its divisors is an integer number (9669062264).

Almost surely, 2101443120401 is an apocalyptic number.

It is an amenable number.

101443120401 is a deficient number, since it is larger than the sum of its proper divisors (53261875823).

101443120401 is a wasteful number, since it uses less digits than its factorization.

101443120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906360.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101443120401 its reverse (104021344101), we get a palindrome (205464464502).

The spelling of 101443120401 in words is "one hundred one billion, four hundred forty-three million, one hundred twenty thousand, four hundred one".

Divisors: 1 3 7 21 1237 3711 8659 25977 3905113 11715339 27335791 82007373 4830624781 14491874343 33814373467 101443120401