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31132203031232 = 2637411889169751
BaseRepresentation
bin1110001010000100001111…
…11001110001101011000000
311002020012122202110000022022
413011002013321301223000
513040032222433444412
6150113534151301012
76362141004355202
oct705020771615300
9132205582400268
1031132203031232
119a13102aa6046
1235a976797a768
13144a9a5b32894
14798b416c8772
1538ec479bda72
hex1c5087e71ac0

31132203031232 has 112 divisors (see below), whose sum is σ = 65029933805760. Its totient is φ = 14768087040000.

The previous prime is 31132203031219. The next prime is 31132203031243. The reversal of 31132203031232 is 23213030223113.

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, 183314357 + ... + 183484107.

It is an arithmetic number, because the mean of its divisors is an integer number (580624408980).

Almost surely, 231132203031232 is an apocalyptic number.

31132203031232 is a gapful number since it is divisible by the number (32) 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 31132203031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32514966902880).

31132203031232 is an abundant number, since it is smaller than the sum of its proper divisors (33897730774528).

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

31132203031232 is a wasteful number, since it uses less digits than its factorization.

31132203031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171730 (or 171720 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 31132203031232 its reverse (23213030223113), we get a palindrome (54345233254345).

The spelling of 31132203031232 in words is "thirty-one trillion, one hundred thirty-two billion, two hundred three million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 148 164 296 328 592 656 1184 1312 1517 1889 2368 2624 3034 3778 6068 7556 12136 15112 24272 30224 48544 60448 69893 77449 97088 120896 139786 154898 169751 279572 309796 339502 559144 619592 679004 1118288 1239184 1358008 2236576 2478368 2716016 2865613 4473152 4956736 5432032 5731226 6280787 6959791 10864064 11462452 12561574 13919582 22924904 25123148 27839164 45849808 50246296 55678328 91699616 100492592 111356656 183399232 200985184 222713312 257512267 320659639 401970368 445426624 515024534 641319278 1030049068 1282638556 2060098136 2565277112 4120196272 5130554224 8240392544 10261108448 11864406643 13147045199 16480785088 20522216896 23728813286 26294090398 47457626572 52588180796 94915253144 105176361592 189830506288 210352723184 379661012576 420705446368 486440672363 759322025152 841410892736 972881344726 1945762689452 3891525378904 7783050757808 15566101515616 31132203031232