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101424231104 = 267833537727
BaseRepresentation
bin101111001110101011…
…0101111001011000000
3100200210102120210000212
41132131112233023000
53130204100343404
6114332121133252
710220246511530
oct1363526571300
9320712523025
10101424231104
113a017374aa9
12177a692a228
1397448c3441
144ca227d4c0
1529892b906e
hex179d5af2c0

101424231104 has 112 divisors (see below), whose sum is σ = 233476604928. Its totient is φ = 42816626688.

The previous prime is 101424231067. The next prime is 101424231109. The reversal of 101424231104 is 401132424101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 101424231104.

It is not an unprimeable number, because it can be changed into a prime (101424231109) 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, 13122089 + ... + 13129815.

It is an arithmetic number, because the mean of its divisors is an integer number (2084612544).

Almost surely, 2101424231104 is an apocalyptic number.

101424231104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101424231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116738302464).

101424231104 is an abundant number, since it is smaller than the sum of its proper divisors (132052373824).

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

101424231104 is an equidigital number, since it uses as much as digits as its factorization.

101424231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 101424231104 its reverse (401132424101), we get a palindrome (502556655205).

The spelling of 101424231104 in words is "one hundred one billion, four hundred twenty-four million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 353 448 581 664 706 1162 1328 1412 2324 2471 2656 2824 4648 4942 5312 5648 7727 9296 9884 11296 15454 18592 19768 22592 29299 30908 37184 39536 54089 58598 61816 79072 108178 117196 123632 158144 205093 216356 234392 247264 410186 432712 468784 494528 641341 820372 865424 937568 1282682 1640744 1730848 1875136 2565364 2727631 3281488 3461696 4489387 5130728 5455262 6562976 8978774 10261456 10910524 13125952 17957548 19093417 20522912 21821048 35915096 38186834 41045824 43642096 71830192 76373668 87284192 143660384 152747336 174568384 226393373 287320768 305494672 452786746 610989344 905573492 1221978688 1584753611 1811146984 3169507222 3622293968 6339014444 7244587936 12678028888 14489175872 25356057776 50712115552 101424231104