Search a number
-
+
330133113310 = 257111338478573
BaseRepresentation
bin1001100110111010111…
…01111000100111011110
31011120010112200210020211
410303131131320213132
520402103034111220
6411354442203034
732565002106550
oct4633535704736
91146115623224
10330133113310
11118010599330
1253b94ab347a
132519295c580
1411d9b11b4d0
1588c2d2db5a
hex4cdd7789de

330133113310 has 128 divisors (see below), whose sum is σ = 798160656384. Its totient is φ = 94947586560.

The previous prime is 330133113301. The next prime is 330133113313. The reversal of 330133113310 is 13311331033.

It is a super-2 number, since 2×3301331133102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330133113313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38504184 + ... + 38512756.

It is an arithmetic number, because the mean of its divisors is an integer number (6235630128).

Almost surely, 2330133113310 is an apocalyptic number.

330133113310 is an abundant number, since it is smaller than the sum of its proper divisors (468027543074).

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

330133113310 is a wasteful number, since it uses less digits than its factorization.

330133113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12458.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 330133113310 its reverse (13311331033), we get a palindrome (343444444343).

The spelling of 330133113310 in words is "three hundred thirty billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 3847 5005 7694 8573 10010 17146 19235 26929 38470 42317 42865 50011 53858 60011 84634 85730 94303 100022 111449 120022 134645 188606 211585 222898 250055 269290 296219 300055 350077 423170 471515 500110 550121 557245 592438 600110 660121 700154 780143 943030 1100242 1114490 1225939 1320242 1481095 1560286 1750385 2451878 2750605 2962190 3300605 3500770 3850847 3900715 5501210 6129695 6601210 7701694 7801430 8581573 12259390 17163146 19254235 32980331 38508470 42907865 65960662 85815730 164901655 230862317 329803310 362783641 428744303 461724634 725567282 857488606 1154311585 1813918205 2143721515 2308623170 2539485487 3001210121 3627836410 4287443030 4716187333 5078970974 6002420242 9432374666 12697427435 15006050605 23580936665 25394854870 30012101210 33013311331 47161873330 66026622662 165066556655 330133113310