Search a number
-
+
1331223130248 = 2331167376120011
BaseRepresentation
bin10011010111110011000…
…101001111000010001000
311201021010020011210212120
4103113303011033002020
5133302321110131443
62455315551411240
7165114643622544
oct23276305170210
94637106153776
101331223130248
11473628830070
12195bbbb23b20
13986c29c1b3b
1448608224a24
1524965108083
hex135f314f088

1331223130248 has 128 divisors (see below), whose sum is σ = 3685960650240. Its totient is φ = 397254528000.

The previous prime is 1331223130241. The next prime is 1331223130273. The reversal of 1331223130248 is 8420313221331.

It is a super-3 number, since 3×13312231302483 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1331223130241) 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 31 ways as a sum of consecutive naturals, for example, 66514563 + ... + 66534573.

It is an arithmetic number, because the mean of its divisors is an integer number (28796567580).

Almost surely, 21331223130248 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 1331223130248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842980325120).

1331223130248 is an abundant number, since it is smaller than the sum of its proper divisors (2354737519992).

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

1331223130248 is a wasteful number, since it uses less digits than its factorization.

1331223130248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23859 (or 23855 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 1331223130248 its reverse (8420313221331), we get a palindrome (9751536351579).

The spelling of 1331223130248 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-three million, one hundred thirty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 3761 4422 5896 7522 8844 11283 15044 17688 20011 22566 30088 40022 41371 45132 60033 80044 82742 90264 120066 124113 160088 165484 220121 240132 248226 251987 330968 440242 480264 496452 503974 660363 755961 880484 992904 1007948 1320726 1340737 1511922 1760968 2015896 2641452 2681474 2771857 3023844 4022211 5282904 5362948 5543714 6047688 8044422 8315571 10725896 11087428 14748107 16088844 16631142 22174856 29496214 32177688 33262284 44244321 58992428 66524568 75261371 88488642 117984856 150522742 176977284 225784113 301045484 353954568 451568226 602090968 827875081 903136452 1655750162 1806272904 2483625243 3311500324 4967250486 5042511857 6623000648 9934500972 10085023714 15127535571 19869001944 20170047428 30255071142 40340094856 55467630427 60510142284 110935260854 121020284568 166402891281 221870521708 332805782562 443741043416 665611565124 1331223130248