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1330331002230 = 235192345735533
BaseRepresentation
bin10011010110111101111…
…010000010010101110110
311201011211001111000022010
4103112331322002111312
5133244004214032410
62455051242145050
7165053561641326
oct23267572022566
94634731430263
101330331002230
1147321019508a
121959b11b2186
13985acc23539
1448561957286
1524911b33c20
hex135bde82576

1330331002230 has 96 divisors (see below), whose sum is σ = 3370750123104. Its totient is φ = 335976947712.

The previous prime is 1330331002201. The next prime is 1330331002237. The reversal of 1330331002230 is 322001330331.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1330331002197 and 1330331002206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330331002237) 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, 37421544 + ... + 37457076.

It is an arithmetic number, because the mean of its divisors is an integer number (35111980449).

Almost surely, 21330331002230 is an apocalyptic number.

1330331002230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330331002230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685375061552).

1330331002230 is an abundant number, since it is smaller than the sum of its proper divisors (2040419120874).

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

1330331002230 is a wasteful number, since it uses less digits than its factorization.

1330331002230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39038 (or 39019 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1330331002230 its reverse (322001330331), we get a palindrome (1652332332561).

The spelling of 1330331002230 in words is "one trillion, three hundred thirty billion, three hundred thirty-one million, two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1805 2166 3457 3610 5415 6914 10371 10830 17285 20742 34570 35533 51855 65683 71066 103710 106599 131366 177665 197049 213198 328415 355330 394098 532995 656830 675127 985245 1065990 1247977 1350254 1970490 2025381 2495954 3375635 3743931 4050762 6239885 6751270 7487862 10126905 12479770 12827413 18719655 20253810 25654826 37439310 38482239 64137065 76964478 122837581 128274130 192411195 245675162 368512743 384822390 614187905 737025486 1228375810 1842563715 2333914039 3685127430 4667828078 7001742117 11669570195 14003484234 23339140390 35008710585 44344366741 70017421170 88688733482 133033100223 221721833705 266066200446 443443667410 665165501115 1330331002230