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331331330022 = 23741114391453
BaseRepresentation
bin1001101001001001110…
…00101101111111100110
31011200020001100111120120
410310210320231333212
520412031310030042
6412113404142410
732636461560000
oct4644470557746
91150201314516
10331331330022
11118575997280
125426a237a06
1325323c7b144
1412072305370
158943115dec
hex4d24e2dfe6

331331330022 has 160 divisors (see below), whose sum is σ = 844505533440. Its totient is φ = 85941092160.

The previous prime is 331331329993. The next prime is 331331330053. The reversal of 331331330022 is 220033133133.

It is a junction number, because it is equal to n+sod(n) for n = 331331329974 and 331331330001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228031848 + ... + 228033300.

It is an arithmetic number, because the mean of its divisors is an integer number (5278159584).

Almost surely, 2331331330022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331331330022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422252766720).

331331330022 is an abundant number, since it is smaller than the sum of its proper divisors (513174203418).

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

331331330022 is a wasteful number, since it uses less digits than its factorization.

331331330022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 331331330022 its reverse (220033133133), we get a palindrome (551364463155).

The spelling of 331331330022 in words is "three hundred thirty-one billion, three hundred thirty-one million, three hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 343 462 539 686 1029 1078 1439 1453 1617 2058 2401 2878 2906 3234 3773 4317 4359 4802 7203 7546 8634 8718 10073 10171 11319 14406 15829 15983 20146 20342 22638 26411 30219 30513 31658 31966 47487 47949 52822 60438 61026 70511 71197 79233 94974 95898 110803 111881 141022 142394 158466 211533 213591 221606 223762 332409 335643 423066 427182 493577 498379 664818 671286 775621 783167 987154 996758 1480731 1495137 1551242 1566334 2090867 2326863 2349501 2961462 2990274 3455039 3488653 4181734 4653726 4699002 5429347 5482169 6272601 6910078 6977306 10365117 10465959 10858694 10964338 12545202 14636069 16288041 16446507 20730234 20931918 22999537 29272138 32576082 32893014 38005429 38375183 43908207 45999074 68998611 76010858 76750366 87816414 102452483 114016287 115125549 137997222 160996759 204904966 228032574 230251098 307357449 321993518 482990277 614714898 717167381 965980554 1126977313 1434334762 2151502143 2253954626 3380931939 4303004286 5020171667 6761863878 7888841191 10040343334 15060515001 15777682382 23666523573 30121030002 47333047146 55221888337 110443776674 165665665011 331331330022