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1331014222044 = 223213149160911863
BaseRepresentation
bin10011010111100110101…
…000010100000011011100
311201020120200002011200200
4103113212220110003130
5133301404120101134
62455243130023500
7165106526133663
oct23274650240334
94636520064620
101331014222044
11473530913261
12195b61b77b90
139868b638c10
14485c85a3dda
1524951ade499
hex135e6a140dc

1331014222044 has 144 divisors (see below), whose sum is σ = 3650208744000. Its totient is φ = 406507133952.

The previous prime is 1331014222039. The next prime is 1331014222049. The reversal of 1331014222044 is 4402224101331.

1331014222044 is a `hidden beast` number, since 1 + 3 + 31 + 0 + 1 + 422 + 204 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1331014222039) and next prime (1331014222049).

It is a junction number, because it is equal to n+sod(n) for n = 1331014221999 and 1331014222017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331014222049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112192857 + ... + 112204719.

Almost surely, 21331014222044 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 1331014222044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825104372000).

1331014222044 is an abundant number, since it is smaller than the sum of its proper divisors (2319194521956).

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

1331014222044 is a wasteful number, since it uses less digits than its factorization.

1331014222044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13644 (or 13639 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1331014222044 its reverse (4402224101331), we get a palindrome (5733238323375).

The spelling of 1331014222044 in words is "one trillion, three hundred thirty-one billion, fourteen million, two hundred twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 234 298 447 468 596 894 1341 1609 1788 1937 2682 3218 3874 4827 5364 5811 6436 7748 9654 11622 11863 14481 17433 19308 20917 23244 23726 28962 34866 35589 41834 47452 57924 62751 69732 71178 83668 106767 125502 142356 154219 188253 213534 239741 251004 308438 376506 427068 462657 479482 616876 719223 753012 925314 958964 1387971 1438446 1767587 1850628 2157669 2775942 2876892 3116633 3535174 4315338 5302761 5551884 6233266 7070348 8630676 9349899 10605522 12466532 15908283 18699798 19087567 21211044 22978631 28049697 31816566 37399596 38175134 45957262 56099394 57262701 63633132 68935893 76350268 91914524 112198788 114525402 137871786 171788103 206807679 229050804 248138371 275743572 343576206 413615358 496276742 687152412 744415113 827230716 992553484 1488830226 2233245339 2844047483 2977660452 4466490678 5688094966 8532142449 8932981356 11376189932 17064284898 25596427347 34128569796 36972617279 51192854694 73945234558 102385709388 110917851837 147890469116 221835703674 332753555511 443671407348 665507111022 1331014222044