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1331223450312 = 233797235134747
BaseRepresentation
bin10011010111110011000…
…110011101001011001000
311201021010020210001220210
4103113303012131023020
5133302321200402222
62455320002321120
7165114646424640
oct23276306351310
94637106701823
101331223450312
11473628a29588
121960000591a0
13986c2aa4722
14486082a9520
152496516cd0c
hex135f319d2c8

1331223450312 has 128 divisors (see below), whose sum is σ = 3844452003840. Its totient is φ = 376257484800.

The previous prime is 1331223450289. The next prime is 1331223450341. The reversal of 1331223450312 is 2130543221331.

It is a self number, because there is not a number n which added to its sum of digits gives 1331223450312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38294523 + ... + 38329269.

It is an arithmetic number, because the mean of its divisors is an integer number (30034781280).

Almost surely, 21331223450312 is an apocalyptic number.

1331223450312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331223450312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922226001920).

1331223450312 is an abundant number, since it is smaller than the sum of its proper divisors (2513228553528).

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

1331223450312 is a wasteful number, since it uses less digits than its factorization.

1331223450312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37211 (or 37207 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 1331223450312 its reverse (2130543221331), we get a palindrome (3461766671643).

The spelling of 1331223450312 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-three million, four hundred fifty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2351 2716 4074 4702 5432 7053 8148 9404 14106 16296 16457 18808 28212 32914 34747 49371 56424 65828 69494 98742 104241 131656 138988 197484 208482 228047 243229 277976 394968 416964 456094 486458 684141 729687 833928 912188 972916 1368282 1459374 1596329 1824376 1945832 2736564 2918748 3192658 3370459 4788987 5473128 5837496 6385316 6740918 9577974 10111377 12770632 13481836 19155948 20222754 23593213 26963672 38311896 40445508 47186426 70779639 80891016 81690197 94372852 141559278 163380394 188745704 245070591 283118556 326760788 490141182 566237112 571831379 653521576 980282364 1143662758 1715494137 1960564728 2287325516 3430988274 4574651032 6861976548 7923949109 13723953096 15847898218 23771847327 31695796436 47543694654 55467643763 63391592872 95087389308 110935287526 166402931289 190174778616 221870575052 332805862578 443741150104 665611725156 1331223450312