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1000422010224 = 243271376344781
BaseRepresentation
bin11101000111011011100…
…11000110110101110000
310112122021010111202200100
432203231303012311300
5112342331013311344
62043330523352400
7132164250531360
oct16435563066560
93478233452610
101000422010224
1135630516447a
12141a7b382700
1373454845530
14365c64da9a0
151b053826569
hexe8edcc6d70

1000422010224 has 120 divisors (see below), whose sum is σ = 3445898080352. Its totient is φ = 263847559680.

The previous prime is 1000422010223. The next prime is 1000422010277. The reversal of 1000422010224 is 4220102240001.

1000422010224 is a `hidden beast` number, since 10 + 0 + 0 + 422 + 0 + 10 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1000422010197 and 1000422010206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000422010223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38159287 + ... + 38185494.

Almost surely, 21000422010224 is an apocalyptic number.

1000422010224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1000422010224 is an abundant number, since it is smaller than the sum of its proper divisors (2445476070128).

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

1000422010224 is a wasteful number, since it uses less digits than its factorization.

1000422010224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76344815 (or 76344806 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1000422010224 its reverse (4220102240001), we get a palindrome (5220524250225).

The spelling of 1000422010224 in words is "one trillion, four hundred twenty-two million, ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 76344781 152689562 229034343 305379124 458068686 534413467 610758248 687103029 916137372 992482153 1068826934 1221516496 1374206058 1603240401 1832274744 1984964306 2137653868 2748412116 2977446459 3206480802 3664549488 3969928612 4275307736 4809721203 5496824232 5954892918 6412961604 6947375071 7939857224 8550615472 8932339377 9619442406 10993648464 11909785836 12825923208 13894750142 15879714448 17864678754 19238884812 20842125213 23819571672 25651846416 27789500284 35729357508 38477769624 41684250426 47639143344 55579000568 62526375639 71458715016 76955539248 83368500852 111158001136 125052751278 142917430032 166737001704 250105502556 333474003408 500211005112 1000422010224