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1133303221312 = 264714913811831
BaseRepresentation
bin10000011111011110001…
…000101100110001000000
311000100020211221200212221
4100133132020230301000
5122032001111040222
62224344325100424
7144610211303143
oct20373610546100
94010224850787
101133303221312
113a76a413a099
12163784b57714
1382b4060c9a2
143cbd04ca05a
151e72e5b70c7
hex107de22cc40

1133303221312 has 112 divisors (see below), whose sum is σ = 2315099865600. Its totient is φ = 550173542400.

The previous prime is 1133303221243. The next prime is 1133303221331. The reversal of 1133303221312 is 2131223033311.

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 15 ways as a sum of consecutive naturals, for example, 618952237 + ... + 618954067.

Almost surely, 21133303221312 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 1133303221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157549932800).

1133303221312 is an abundant number, since it is smaller than the sum of its proper divisors (1181796644288).

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

1133303221312 is a wasteful number, since it uses less digits than its factorization.

1133303221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1133303221312 its reverse (2131223033311), we get a palindrome (3264526254623).

The spelling of 1133303221312 in words is "one trillion, one hundred thirty-three billion, three hundred three million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 149 188 298 376 596 752 1192 1381 1504 1831 2384 2762 3008 3662 4768 5524 7003 7324 9536 11048 14006 14648 22096 28012 29296 44192 56024 58592 64907 86057 88384 112048 117184 129814 172114 205769 224096 259628 272819 344228 411538 448192 519256 545638 688456 823076 1038512 1091276 1376912 1646152 2077024 2182552 2528611 2753824 3292304 4154048 4365104 5057222 5507648 6584608 8730208 9671143 10114444 12822493 13169216 17460416 19342286 20228888 25644986 38684572 40457776 51289972 77369144 80915552 102579944 118844717 154738288 161831104 205159888 237689434 309476576 376763039 410319776 475378868 618953152 753526078 820639552 950757736 1507052156 1901515472 3014104312 3803030944 6028208624 7606061888 12056417248 17707862833 24112834496 35415725666 70831451332 141662902664 283325805328 566651610656 1133303221312