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1230331311132 = 2237211433439303
BaseRepresentation
bin10001111001110101011…
…101011111010000011100
311100121200220102100210020
4101321311131133100130
5130124204303424012
62341112325512140
7154613520410400
oct21716535372034
94317626370706
101230331311132
11434864a50080
1217a543572650
138c0344c15a1
1443796977100
152200c95aa8c
hex11e7575f41c

1230331311132 has 144 divisors (see below), whose sum is σ = 3651480790272. Its totient is φ = 318827819520.

The previous prime is 1230331311109. The next prime is 1230331311137. The reversal of 1230331311132 is 2311131330321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230331311137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2580993 + ... + 3020295.

It is an arithmetic number, because the mean of its divisors is an integer number (25357505488).

Almost surely, 21230331311132 is an apocalyptic number.

1230331311132 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 1230331311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825740395136).

1230331311132 is an abundant number, since it is smaller than the sum of its proper divisors (2421149479140).

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

1230331311132 is a wasteful number, since it uses less digits than its factorization.

1230331311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439768 (or 439759 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1230331311132 its reverse (2311131330321), we get a palindrome (3541462641453).

The spelling of 1230331311132 in words is "one trillion, two hundred thirty billion, three hundred thirty-one million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 433 462 539 588 866 924 1078 1299 1617 1732 2156 2598 3031 3234 4763 5196 6062 6468 9093 9526 12124 14289 18186 19052 21217 28578 33341 36372 42434 57156 63651 66682 84868 100023 127302 133364 200046 233387 254604 400092 439303 466774 700161 878606 933548 1317909 1400322 1757212 2635818 2800644 3075121 4832333 5271636 6150242 9225363 9664666 12300484 14496999 18450726 19329332 21525847 28993998 33826331 36901452 43051694 57987996 64577541 67652662 86103388 101478993 129155082 135305324 190218199 202957986 236784317 258310164 380436398 405915972 473568634 570654597 710352951 760872796 947137268 1141309194 1331527393 1420705902 2092400189 2282618388 2663054786 2841411804 3994582179 4184800378 5326109572 6277200567 7989164358 8369600756 9320691751 12554401134 14646801323 15978328716 18641383502 25108802268 27962075253 29293602646 37282767004 43940403969 55924150506 58587205292 87880807938 102527609261 111848301012 175761615876 205055218522 307582827783 410110437044 615165655566 1230331311132