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22330130331300 = 223521122033071587
BaseRepresentation
bin1010001001111001000110…
…11111000111011010100100
32221001201222011202210200020
411010330203133013122210
510411324101331100200
6115254153101515140
74463204306031651
oct504744337073244
987051864683606
1022330130331300
11712a178476a70
12260788b572ab0
13c5c950a422bc
14572ad9702c28
1528acd07e2ea0
hex144f237c76a4

22330130331300 has 144 divisors (see below), whose sum is σ = 70514027980032. Its totient is φ = 5410905897600.

The previous prime is 22330130331251. The next prime is 22330130331319. The reversal of 22330130331300 is 313303103322.

It is a super-2 number, since 2×223301303313002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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, 5734107 + ... + 8805693.

Almost surely, 222330130331300 is an apocalyptic number.

22330130331300 is a gapful number since it is divisible by the number (20) 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 22330130331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35257013990016).

22330130331300 is an abundant number, since it is smaller than the sum of its proper divisors (48183897648732).

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

22330130331300 is a wasteful number, since it uses less digits than its factorization.

22330130331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073818 (or 3073811 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 22330130331300 its reverse (313303103322), we get a palindrome (22643433434622).

The spelling of 22330130331300 in words is "twenty-two trillion, three hundred thirty billion, one hundred thirty million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2203 3300 4406 6609 8812 11015 13218 22030 24233 26436 33045 44060 48466 55075 66090 72699 96932 110150 121165 132180 145398 165225 220300 242330 290796 330450 363495 484660 605825 660900 726990 1211650 1453980 1817475 2423300 3071587 3634950 6143174 7269900 9214761 12286348 15357935 18429522 30715870 33787457 36859044 46073805 61431740 67574914 76789675 92147610 101362371 135149828 153579350 168937285 184295220 202724742 230369025 307158700 337874570 405449484 460738050 506811855 675749140 844686425 921476100 1013623710 1689372850 2027247420 2534059275 3378745700 5068118550 6766706161 10136237100 13533412322 20300118483 27066824644 33833530805 40600236966 67667061610 74433767771 81200473932 101500592415 135334123220 148867535542 169167654025 203001184830 223301303313 297735071084 338335308050 372168838855 406002369660 446602606626 507502962075 676670616100 744337677710 893205213252 1015005924150 1116506516565 1488675355420 1860844194275 2030011848300 2233013033130 3721688388550 4466026066260 5582532582825 7443376777100 11165065165650 22330130331300