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1000023104340 = 2232513427360301
BaseRepresentation
bin11101000110101100000…
…01011001101101010100
310112121020022220020200100
432203112001121231110
5112341021403314330
62043223153414100
7132151335064431
oct16432601315524
93477208806610
101000023104340
1135611aa76597
1214198986a330
13733bccc7c50
143658953cb88
151b02d7cc060
hexe8d6059b54

1000023104340 has 72 divisors (see below), whose sum is σ = 3266742148488. Its totient is φ = 246159532800.

The previous prime is 1000023104329. The next prime is 1000023104383. The reversal of 1000023104340 is 434013200001.

1000023104340 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 231 + 0 + 434 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7026798276 + 992996306064 = 83826^2 + 996492^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213677811 + ... + 213682490.

It is an arithmetic number, because the mean of its divisors is an integer number (45371418729).

Almost surely, 21000023104340 is an apocalyptic number.

1000023104340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000023104340 is an abundant number, since it is smaller than the sum of its proper divisors (2266719044148).

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

1000023104340 is a wasteful number, since it uses less digits than its factorization.

1000023104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427360329 (or 427360324 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1000023104340 its reverse (434013200001), we get a palindrome (1434036304341).

The spelling of 1000023104340 in words is "one trillion, twenty-three million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 427360301 854720602 1282080903 1709441204 2136801505 2564161806 3846242709 4273603010 5128323612 5555683913 6410404515 7692485418 8547206020 11111367826 12820809030 15384970836 16667051739 19231213545 22222735652 25641618060 27778419565 33334103478 38462427090 50001155217 55556839130 66668206956 76924854180 83335258695 100002310434 111113678260 166670517390 200004620868 250005776085 333341034780 500011552170 1000023104340