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10234120000 = 26541319681
BaseRepresentation
bin10011000100000000…
…00100011101000000
3222102020022011101111
421202000010131000
5131424413320000
64411304413104
7511416404356
oct114200043500
928366264344
1010234120000
114381991915
121b97477194
13c7135cb10
146d12a77d6
153ed706cba
hex262004740

10234120000 has 140 divisors (see below), whose sum is σ = 27330779476. Its totient is φ = 3778560000.

The previous prime is 10234119949. The next prime is 10234120007. The reversal of 10234120000 is 2143201.

It can be written as a sum of positive squares in 10 ways, for example, as 6635079936 + 3599040064 = 81456^2 + 59992^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 510160 + ... + 529840.

Almost surely, 210234120000 is an apocalyptic number.

10234120000 is a gapful number since it is divisible by the number (10) 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 10234120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665389738).

10234120000 is an abundant number, since it is smaller than the sum of its proper divisors (17096659476).

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

10234120000 is an equidigital number, since it uses as much as digits as its factorization.

10234120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19726 (or 19701 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10234120000 its reverse (2143201), we get a palindrome (10236263201).

The spelling of 10234120000 in words is "ten billion, two hundred thirty-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 19681 20000 20800 26000 32500 39362 40000 52000 65000 78724 98405 104000 130000 157448 196810 255853 260000 314896 393620 492025 511706 520000 629792 787240 984050 1023412 1259584 1279265 1574480 1968100 2046824 2460125 2558530 3148960 3936200 4093648 4920250 5117060 6297920 6396325 7872400 8187296 9840500 10234120 12300625 12792650 15744800 16374592 19681000 20468240 24601250 25585300 31489600 31981625 39362000 40936480 49202500 51170600 63963250 78724000 81872960 98405000 102341200 127926500 157448000 159908125 196810000 204682400 255853000 319816250 393620000 409364800 511706000 639632500 787240000 1023412000 1279265000 2046824000 2558530000 5117060000 10234120000