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1105131223424 = 27316715127529
BaseRepresentation
bin10000000101001110111…
…101000011100110000000
310220122112111100220222202
4100011032331003212000
5121101302043122144
62203405033252332
7142562116256414
oct20051675034600
93818474326882
101105131223424
11396757846108
1215a2222640a8
13802a0b90457
143b6bab66d44
151db311c864e
hex1014ef43980

1105131223424 has 128 divisors (see below), whose sum is σ = 2321928652800. Its totient is φ = 523252224000.

The previous prime is 1105131223423. The next prime is 1105131223451. The reversal of 1105131223424 is 4243221315011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105131223423) 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, 40130492 + ... + 40158020.

It is an arithmetic number, because the mean of its divisors is an integer number (18140067600).

Almost surely, 21105131223424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105131223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160964326400).

1105131223424 is an abundant number, since it is smaller than the sum of its proper divisors (1216797429376).

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

1105131223424 is a wasteful number, since it uses less digits than its factorization.

1105131223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27792 (or 27780 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 1105131223424 its reverse (4243221315011), we get a palindrome (5348352538435).

The spelling of 1105131223424 in words is "one trillion, one hundred five billion, one hundred thirty-one million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 128 134 151 248 268 302 496 536 604 992 1072 1208 1984 2077 2144 2416 3968 4154 4288 4681 4832 8308 8576 9362 9664 10117 16616 18724 19328 20234 27529 33232 37448 40468 55058 66464 74896 80936 110116 132928 149792 161872 220232 265856 299584 313627 323744 440464 599168 627254 647488 853399 880928 1254508 1294976 1706798 1761856 1844443 2509016 3413596 3523712 3688886 4156879 5018032 6827192 7377772 8313758 10036064 13654384 14755544 16627516 20072128 27308768 29511088 33255032 40144256 54617536 57177733 59022176 66510064 109235072 114355466 118044352 128863249 133020128 228710932 236088704 257726498 266040256 278510893 457421864 515452996 532080512 557021786 914843728 1030905992 1114043572 1829687456 2061811984 2228087144 3659374912 4123623968 4456174288 7318749824 8247247936 8633837683 8912348576 16494495872 17267675366 17824697152 34535350732 35649394304 69070701464 138141402928 276282805856 552565611712 1105131223424