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2331331012332 = 2232719495798227
BaseRepresentation
bin100001111011001110001…
…010000010011011101100
322020212120110121012202100
4201323032022002123230
5301144031214343312
64542555414255100
7330301361432610
oct41731612023354
98225513535670
102331331012332
11819791640403
123179b2057490
1313bac7430a1a
1480ba0b11340
154099b07e5dc
hex21ece2826ec

2331331012332 has 144 divisors (see below), whose sum is σ = 7090930013440. Its totient is φ = 630903240576.

The previous prime is 2331331012303. The next prime is 2331331012333. The reversal of 2331331012332 is 2332101331332.

2331331012332 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 3 + 310 + 12 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2331331012296 and 2331331012305.

It is not an unprimeable number, because it can be changed into a prime (2331331012333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23685003 + ... + 23783229.

Almost surely, 22331331012332 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 2331331012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545465006720).

2331331012332 is an abundant number, since it is smaller than the sum of its proper divisors (4759599001108).

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

2331331012332 is a wasteful number, since it uses less digits than its factorization.

2331331012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103220 (or 103215 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2331331012332 its reverse (2332101331332), we get a palindrome (4663432343664).

The spelling of 2331331012332 in words is "two trillion, three hundred thirty-one billion, three hundred thirty-one million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 4957 9914 14871 19828 29742 34699 44613 59484 69398 89226 94183 98227 104097 138796 178452 188366 196454 208194 282549 294681 312291 376732 392908 416388 565098 589362 624582 659281 687589 847647 884043 1130196 1178724 1249164 1318562 1375178 1695294 1768086 1866313 1977843 2062767 2637124 2750356 3390588 3536172 3732626 3955686 4125534 5598939 5933529 6188301 7465252 7911372 8251068 11197878 11867058 12376602 13064191 16796817 22395756 23734116 24753204 26128382 33593634 39192573 52256764 67187268 78385146 117577719 156770292 235155438 470310876 486911239 973822478 1460733717 1947644956 2921467434 3408378673 4382201151 5842934868 6816757346 8764402302 9251313541 10225136019 13633514692 17528804604 18502627082 20450272038 27753940623 30675408057 37005254164 40900544076 55507881246 61350816114 64759194787 83261821869 111015762492 122701632228 129518389574 166523643738 194277584361 259036779148 333047287476 388555168722 582832753083 777110337444 1165665506166 2331331012332