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100442141130 = 23522914620399
BaseRepresentation
bin101110110001011010…
…0010111000111001010
3100121020222121102212010
41131202310113013022
53121201142004010
6114050435400350
710154023053462
oct1354264270712
9317228542763
10100442141130
1139662a742a1
1217571a530b6
1396192b7306
144c0ba74ba2
15292ce74620
hex1762d171ca

100442141130 has 32 divisors (see below), whose sum is σ = 242113824000. Its totient is φ = 26667605952.

The previous prime is 100442141119. The next prime is 100442141179. The reversal of 100442141130 is 31141244001.

It is a junction number, because it is equal to n+sod(n) for n = 100442141097 and 100442141106.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7303330 + ... + 7317069.

It is an arithmetic number, because the mean of its divisors is an integer number (7566057000).

Almost surely, 2100442141130 is an apocalyptic number.

100442141130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100442141130 is an abundant number, since it is smaller than the sum of its proper divisors (141671682870).

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

100442141130 is a wasteful number, since it uses less digits than its factorization.

100442141130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14620638.

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

Adding to 100442141130 its reverse (31141244001), we get a palindrome (131583385131).

The spelling of 100442141130 in words is "one hundred billion, four hundred forty-two million, one hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 229 458 687 1145 1374 2290 3435 6870 14620399 29240798 43861197 73101995 87722394 146203990 219305985 438611970 3348071371 6696142742 10044214113 16740356855 20088428226 33480713710 50221070565 100442141130