Search a number
-
+
100410442000 = 2453114564111
BaseRepresentation
bin101110110000011101…
…1011100000100010000
3100121011202221221211021
41131200323130010100
53121120033121000
6114043344125224
710153156450261
oct1354073340420
9317152857737
10100410442000
1139647093270
1217563306814
139612868b2b
144c07782968
15292a2b211a
hex1760edc110

100410442000 has 80 divisors (see below), whose sum is σ = 264864547584. Its totient is φ = 36512880000.

The previous prime is 100410441997. The next prime is 100410442043. The reversal of 100410442000 is 244014001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2260056 + ... + 2304055.

Almost surely, 2100410442000 is an apocalyptic number.

100410442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100410442000 is an abundant number, since it is smaller than the sum of its proper divisors (164454105584).

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

100410442000 is a wasteful number, since it uses less digits than its factorization.

100410442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564145 (or 4564129 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100410442000 its reverse (244014001), we get a palindrome (100654456001).

The spelling of 100410442000 in words is "one hundred billion, four hundred ten million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 4564111 9128222 18256444 22820555 36512888 45641110 50205221 73025776 91282220 100410442 114102775 182564440 200820884 228205550 251026105 365128880 401641768 456411100 502052210 570513875 803283536 912822200 1004104420 1141027750 1255130525 1825644400 2008208840 2282055500 2510261050 4016417680 4564111000 5020522100 6275652625 9128222000 10041044200 12551305250 20082088400 25102610500 50205221000 100410442000