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330032223312 = 243113143468913
BaseRepresentation
bin1001100110101110111…
…01000001010001010000
31011112212111212001012020
410303113131001101100
520401401222121222
6411340435531440
732562335416611
oct4632735012120
91145774761166
10330032223312
11117a6964a170
1253b67159b80
1325177a9694c
1411d8b977c08
1588b905065c
hex4cd7741450

330032223312 has 160 divisors (see below), whose sum is σ = 982423597056. Its totient is φ = 94532659200.

The previous prime is 330032223211. The next prime is 330032223379. The reversal of 330032223312 is 213322230033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469368 + ... + 938280.

Almost surely, 2330032223312 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 330032223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491211798528).

330032223312 is an abundant number, since it is smaller than the sum of its proper divisors (652391373744).

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

330032223312 is a wasteful number, since it uses less digits than its factorization.

330032223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469009 (or 469003 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 330032223312 its reverse (213322230033), we get a palindrome (543354453345).

The spelling of 330032223312 in words is "three hundred thirty billion, thirty-two million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 43 44 48 62 66 86 88 93 124 129 132 172 176 186 248 258 264 341 344 372 473 496 516 528 682 688 744 946 1023 1032 1333 1364 1419 1488 1892 2046 2064 2666 2728 2838 3784 3999 4092 5332 5456 5676 7568 7998 8184 10664 11352 14663 15996 16368 21328 22704 29326 31992 43989 58652 63984 87978 117304 175956 234608 351912 468913 703824 937826 1406739 1875652 2813478 3751304 5158043 5626956 7502608 10316086 11253912 14536303 15474129 20163259 20632172 22507824 29072606 30948258 40326518 41264344 43608909 58145212 60489777 61896516 80653036 82528688 87217818 116290424 120979554 123793032 159899333 161306072 174435636 221795849 232580848 241959108 247586064 319798666 322612144 348871272 443591698 479697999 483918216 625061029 639597332 665387547 697742544 887183396 959395998 967836432 1250122058 1279194664 1330775094 1774366792 1875183087 1918791996 2500244116 2558389328 2661550188 3548733584 3750366174 3837583992 5000488232 5323100376 6875671319 7500732348 7675167984 10000976464 10646200752 13751342638 15001464696 20627013957 27502685276 30002929392 41254027914 55005370552 82508055828 110010741104 165016111656 330032223312