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1331331311332 = 22111012573073797
BaseRepresentation
bin10011010111111001100…
…001111010011011100100
311201021101202201222102101
4103113321201322123210
5133303031303430312
62455334414221444
7165120426300361
oct23277141723344
94637352658371
101331331311332
114736838aa120
121960301b4884
139870c23b309
1448618745468
152496e876a57
hex135f987a6e4

1331331311332 has 96 divisors (see below), whose sum is σ = 2585859002496. Its totient is φ = 594726912000.

The previous prime is 1331331311327. The next prime is 1331331311369. The reversal of 1331331311332 is 2331131331331.

It is a super-2 number, since 2×13313313113322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1331331311332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350625258 + ... + 350629054.

It is an arithmetic number, because the mean of its divisors is an integer number (26936031276).

Almost surely, 21331331311332 is an apocalyptic number.

It is an amenable number.

1331331311332 is a deficient number, since it is larger than the sum of its proper divisors (1254527691164).

1331331311332 is a wasteful number, since it uses less digits than its factorization.

1331331311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4475 counting only the distinct ones).

The product of its digits is 4374, while the sum is 28.

Adding to 1331331311332 its reverse (2331131331331), we get a palindrome (3662462642663).

The spelling of 1331331311332 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-one million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 11 22 44 101 202 257 307 404 514 614 1028 1111 1228 2222 2827 3377 3797 4444 5654 6754 7594 11308 13508 15188 25957 31007 41767 51914 62014 78899 83534 103828 124028 157798 167068 285527 315596 341077 383497 571054 682154 766994 867889 975829 1142108 1165679 1364308 1533988 1735778 1951658 2331358 3471556 3903316 4218467 4662716 7968799 8436934 10734119 12822469 15937598 16873868 21468238 25644938 31875196 42936476 51289876 87656789 98558729 117733579 175313578 197117458 235467158 299579503 350627156 394234916 470934316 599159006 1084146019 1198318012 1295069369 2168292038 2590138738 3295374533 4336584076 5180277476 6590749066 13181498132 30257529803 60515059606 121030119212 332832827833 665665655666 1331331311332