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1005220352220 = 223575345158147
BaseRepresentation
bin11101010000010111100…
…11010101000011011100
310120002122112102210110120
432220023303111003130
5112432142402232340
62045443012434540
7132424204004550
oct16501363250334
93502575383416
101005220352220
11358347756877
1214299a318a50
1373a3a989256
143691d8a7860
151b234be74d0
hexea0bcd50dc

1005220352220 has 96 divisors (see below), whose sum is σ = 3277397749248. Its totient is φ = 225429464832.

The previous prime is 1005220352161. The next prime is 1005220352239. The reversal of 1005220352220 is 222530225001.

1005220352220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22556814 + ... + 22601333.

It is an arithmetic number, because the mean of its divisors is an integer number (34139559888).

Almost surely, 21005220352220 is an apocalyptic number.

1005220352220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005220352220 is an abundant number, since it is smaller than the sum of its proper divisors (2272177397028).

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

1005220352220 is a wasteful number, since it uses less digits than its factorization.

1005220352220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45158219 (or 45158217 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 1005220352220 its reverse (222530225001), we get a palindrome (1227750577221).

The spelling of 1005220352220 in words is "one trillion, five billion, two hundred twenty million, three hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 4452 5565 7420 11130 22260 45158147 90316294 135474441 180632588 225790735 270948882 316107029 451581470 541897764 632214058 677372205 903162940 948321087 1264428116 1354744410 1580535145 1896642174 2393381791 2709488820 3161070290 3793284348 4741605435 4786763582 6322140580 7180145373 9483210870 9573527164 11966908955 14360290746 16753672537 18966421740 23933817910 28720581492 33507345074 35900726865 47867635820 50261017611 67014690148 71801453730 83768362685 100522035222 143602907460 167536725370 201044070444 251305088055 335073450740 502610176110 1005220352220