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1000022340420 = 223452921286129
BaseRepresentation
bin11101000110101011111…
…10011111001101000100
310112121020021110102210000
432203111332133031010
5112341021204343140
62043223125201300
7132151325433315
oct16432576371504
93477207412700
101000022340420
1135611a5a4654
12141989560230
13733bcabb31c
14365893c060c
151b02d6caa30
hexe8d5f9f344

1000022340420 has 120 divisors (see below), whose sum is σ = 3245283379800. Its totient is φ = 257477004288.

The previous prime is 1000022340403. The next prime is 1000022340437. The reversal of 1000022340420 is 240432200001.

1000022340420 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 2 + 234 + 0 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (1000022340403) and next prime (1000022340437).

It can be written as a sum of positive squares in 4 ways, for example, as 111176898624 + 888845441796 = 333432^2 + 942786^2 .

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 = 1000022340393 and 1000022340402.

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 39 ways as a sum of consecutive naturals, for example, 10596085 + ... + 10690044.

It is an arithmetic number, because the mean of its divisors is an integer number (27044028165).

Almost surely, 21000022340420 is an apocalyptic number.

1000022340420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000022340420 is an abundant number, since it is smaller than the sum of its proper divisors (2245261039380).

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

1000022340420 is a wasteful number, since it uses less digits than its factorization.

1000022340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21286179 (or 21286168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1000022340420 its reverse (240432200001), we get a palindrome (1240454540421).

The spelling of 1000022340420 in words is "one trillion, twenty-two million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 7830 9396 11745 15660 23490 46980 21286129 42572258 63858387 85144516 106430645 127716774 191575161 212861290 255433548 319291935 383150322 425722580 574725483 617297741 638583870 766300644 957875805 1149450966 1234595482 1277167740 1724176449 1851893223 1915751610 2298901932 2469190964 2873627415 3086488705 3448352898 3703786446 3831503220 5555679669 5747254830 6172977410 6896705796 7407572892 8620882245 9259466115 11111359338 11494509660 12345954820 16667039007 17241764490 18518932230 22222718676 27778398345 33334078014 34483528980 37037864460 50001117021 55556796690 66668156028 83335195035 100002234042 111113593380 166670390070 200004468084 250005585105 333340780140 500011170210 1000022340420