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113301321143104 = 2661149584933301
BaseRepresentation
bin11001110000110000000100…
…111111111101001101000000
3112212011111111212201002221101
4121300300010333331031000
5104322312101203034404
61040545524113104144
732602515234316423
oct3160600477751500
9485144455632841
10113301321143104
1133112903031576
121085a67b258054
134b2b36555b733
141dd9b556019ba
15d173625d02a4
hex670c04ffd340

113301321143104 has 112 divisors (see below), whose sum is σ = 230098004370000. Its totient is φ = 55336863744000.

The previous prime is 113301321143089. The next prime is 113301321143117. The reversal of 113301321143104 is 401341123103311.

It can be written as a sum of positive squares in 8 ways, for example, as 27599052110400 + 85702269032704 = 5253480^2 + 9257552^2 .

It is a congruent number.

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, 3402323254 + ... + 3402356554.

Almost surely, 2113301321143104 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 113301321143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115049002185000).

113301321143104 is an abundant number, since it is smaller than the sum of its proper divisors (116796683226896).

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

113301321143104 is a wasteful number, since it uses less digits than its factorization.

113301321143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39372 (or 39362 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 113301321143104 its reverse (401341123103311), we get a palindrome (514642444246415).

The spelling of 113301321143104 in words is "one hundred thirteen trillion, three hundred one billion, three hundred twenty-one million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 149 244 298 488 596 976 1192 1952 2384 3904 4768 5849 9089 9536 11698 18178 23396 33301 36356 46792 66602 72712 93584 133204 145424 187168 266408 290848 356789 374336 532816 581696 713578 871501 1065632 1427156 1743002 2031361 2131264 2854312 3486004 4062722 4961849 5708624 6972008 8125444 9923698 11417248 13944016 16250888 19847396 22834496 27888032 32501776 39694792 53161561 55776064 65003552 79389584 106323122 130007104 158779168 194777549 212646244 302672789 317558336 389555098 425292488 605345578 779110196 850584976 1210691156 1558220392 1701169952 2421382312 3116440784 3402339904 4842764624 6232881568 9685529248 11881430489 12465763136 19371058496 23762860978 29021854801 47525721956 58043709602 95051443912 116087419204 190102887824 232174838408 380205775648 464349676816 760411551296 928699353632 1770333142861 1857398707264 3540666285722 7081332571444 14162665142888 28325330285776 56650660571552 113301321143104