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31002323333212 = 227211236011104009
BaseRepresentation
bin1110000110010010010100…
…11110000011000001011100
311001202210102012212201222101
413003021022132003001130
513030420224233130322
6145534134250454444
76346562321220400
oct703111236030134
9131683365781871
1031002323333212
119973014324640
12358855b434424
13143b677b5c56a
147927401b7100
1538b6954c0327
hex1c324a78305c

31002323333212 has 144 divisors (see below), whose sum is σ = 71855406685440. Its totient is φ = 11551627718400.

The previous prime is 31002323333167. The next prime is 31002323333243. The reversal of 31002323333212 is 21233332320013.

It is a super-2 number, since 2×310023233332122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298021464 + ... + 298125472.

It is an arithmetic number, because the mean of its divisors is an integer number (498995879760).

Almost surely, 231002323333212 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 31002323333212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35927703342720).

31002323333212 is an abundant number, since it is smaller than the sum of its proper divisors (40853083352228).

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

31002323333212 is a wasteful number, since it uses less digits than its factorization.

31002323333212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110072 (or 110063 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 31002323333212 its reverse (21233332320013), we get a palindrome (52235655653225).

The spelling of 31002323333212 in words is "thirty-one trillion, two billion, three hundred twenty-three million, three hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 49 77 92 98 154 161 196 253 308 322 506 539 644 1012 1078 1127 1771 2156 2254 3542 4508 6011 7084 12022 12397 24044 24794 42077 49588 66121 84154 104009 132242 138253 168308 208018 264484 276506 294539 416036 462847 553012 589078 728063 925694 967771 1144099 1178156 1456126 1520783 1851388 1935542 2288198 2392207 2912252 3041566 3239929 3871084 4576396 4784414 5096441 6083132 6479858 6774397 8008693 9568828 10192882 10645481 12959716 13548794 16017386 16745449 20385764 21290962 26314277 27097588 32034772 33490898 42581924 52628554 56060851 66981796 74518367 105257108 112121702 117218143 149036734 184199939 224243404 234436286 298073468 368399878 468872572 625198099 736799756 1250396198 1289399573 2500792396 2578799146 4376386693 5157598292 6877179089 8752773386 13754358178 14379556277 17505546772 27508716356 28759112554 30634706851 48140253623 57518225108 61269413702 96280507246 100656893939 122538827404 158175119047 192561014492 201313787878 316350238094 336981775361 402627575756 632700476188 673963550722 704598257573 1107225833329 1347927101444 1409196515146 2214451666658 2818393030292 4428903333316 7750580833303 15501161666606 31002323333212