Search a number
-
+
100044513030 = 23571143309313
BaseRepresentation
bin101110100101100011…
…1100001111100000110
3100120020021101211122110
41131023013201330012
53114342343404110
6113543153041450
710141124221050
oct1351307417406
9316207354573
10100044513030
1139479579430
1217480856286
139584ac6507
144bb0d2a8d0
1529080cda20
hex174b1e1f06

100044513030 has 64 divisors (see below), whose sum is σ = 299353978368. Its totient is φ = 20788469760.

The previous prime is 100044512999. The next prime is 100044513031. The reversal of 100044513030 is 30315440001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100044512988 and 100044513006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100044513031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21652347 + ... + 21656966.

It is an arithmetic number, because the mean of its divisors is an integer number (4677405912).

Almost surely, 2100044513030 is an apocalyptic number.

100044513030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100044513030 is an abundant number, since it is smaller than the sum of its proper divisors (199309465338).

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

100044513030 is a wasteful number, since it uses less digits than its factorization.

100044513030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43309341.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 100044513030 its reverse (30315440001), we get a palindrome (130359953031).

The spelling of 100044513030 in words is "one hundred billion, forty-four million, five hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 43309313 86618626 129927939 216546565 259855878 303165191 433093130 476402443 606330382 649639695 909495573 952804886 1299279390 1429207329 1515825955 1818991146 2382012215 2858414658 3031651910 3334817101 4547477865 4764024430 6669634202 7146036645 9094955730 10004451303 14292073290 16674085505 20008902606 33348171010 50022256515 100044513030