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331142112510352 = 2411132334421182813
BaseRepresentation
bin100101101001011000000011…
…1111111001000000110010000
31121102110212200011211021222121
41023102300013333020012100
5321400413021300312402
63132140330354144024
7126515141150265043
oct11322600777100620
91542425604737877
10331142112510352
119656a643722930
1231181687582014
13112a074b24cac0
145bab51423cc5a
152843b762a9837
hex12d2c07fc8190

331142112510352 has 160 divisors (see below), whose sum is σ = 786552595911936. Its totient is φ = 132895256524800.

The previous prime is 331142112510281. The next prime is 331142112510371. The reversal of 331142112510352 is 253015211241133.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811279298 + ... + 1811462110.

Almost surely, 2331142112510352 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 331142112510352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393276297955968).

331142112510352 is an abundant number, since it is smaller than the sum of its proper divisors (455410483401584).

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

331142112510352 is a wasteful number, since it uses less digits than its factorization.

331142112510352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217289 (or 217283 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 331142112510352 its reverse (253015211241133), we get a palindrome (584157323751485).

The spelling of 331142112510352 in words is "three hundred thirty-one trillion, one hundred forty-two billion, one hundred twelve million, five hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 23 26 44 46 52 88 92 104 143 176 184 208 253 286 299 368 506 572 598 1012 1144 1196 2024 2288 2392 3289 4048 4784 6578 13156 26312 34421 52624 68842 137684 182813 275368 365626 378631 447473 550736 731252 757262 791683 894946 1462504 1514524 1583366 1789892 2010943 2376569 2925008 3029048 3166732 3579784 4021886 4204699 4753138 4922203 6058096 6333464 7159568 8043772 8409398 8708513 9506276 9844406 10291879 12666928 16087544 16818796 17417026 19012552 19688812 20583758 26142259 32175088 33637592 34834052 38025104 39377624 41167516 46251689 52284518 54661087 67275184 69668104 78755248 82335032 92503378 104569036 109322174 113210669 139336208 164670064 185006756 209138072 218644348 226421338 370013512 418276144 437288696 452842676 601271957 740027024 874577392 905685352 1202543914 1811370704 2405087828 4810175656 6292606273 9620351312 12585212546 25170425092 50340850184 69218669003 81803881549 100681700368 138437338006 144729944279 163607763098 276874676012 289459888558 327215526196 553749352024 578919777116 654431052392 899842697039 1107498704048 1157839554232 1308862104784 1592029387069 1799685394078 1881489275627 2315679108464 3184058774138 3599370788156 3762978551254 6368117548276 7198741576312 7525957102508 12736235096552 14397483152624 15051914205016 20696382031897 25472470193104 30103828410032 41392764063794 82785528127588 165571056255176 331142112510352