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100441121330 = 25112516016053
BaseRepresentation
bin101110110001011000…
…0011110001000110010
3100121020220200121221202
41131202300132020302
53121200411340310
6114050401451202
710154011305344
oct1354260361062
9317226617852
10100441121330
1139662438090
1217571640b02
13961901b094
144c0b88b294
15292cd223a5
hex1762c1e232

100441121330 has 64 divisors (see below), whose sum is σ = 198377859456. Its totient is φ = 36312000000.

The previous prime is 100441121323. The next prime is 100441121377. The reversal of 100441121330 is 33121144001.

It is a Curzon number.

It is an unprimeable number.

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, 16590584 + ... + 16596636.

It is an arithmetic number, because the mean of its divisors is an integer number (3099654054).

Almost surely, 2100441121330 is an apocalyptic number.

100441121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100441121330 is a deficient number, since it is larger than the sum of its proper divisors (97936738126).

100441121330 is a wasteful number, since it uses less digits than its factorization.

100441121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100441121330 its reverse (33121144001), we get a palindrome (133562265331).

The spelling of 100441121330 in words is "one hundred billion, four hundred forty-one million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 55 110 251 502 601 1202 1255 2510 2761 3005 5522 6010 6053 6611 12106 13222 13805 27610 30265 33055 60530 66110 66583 133166 150851 301702 332915 665830 754255 1508510 1519303 1659361 3038606 3318722 3637853 7275706 7596515 8296805 15193030 16593610 16712333 18189265 33424666 36378530 40016383 80032766 83561665 167123330 200081915 400163830 913101103 1826202206 4565505515 9131011030 10044112133 20088224266 50220560665 100441121330