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10232000000 = 29561279
BaseRepresentation
bin10011000011101111…
…11110111000000000
3222102002022110021222
421201313332320000
5131423343000000
64411151134212
7511362364535
oct114167767000
928362273258
1010232000000
114380774052
121b96814368
13c70a99b91
146d0cb4d8c
153ed438a85
hex261dfee00

10232000000 has 140 divisors (see below), whose sum is σ = 25574672640. Its totient is φ = 4089600000.

The previous prime is 10231999957. The next prime is 10232000021. The reversal of 10232000000 is 23201.

10232000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999361 + ... + 8000639.

Almost surely, 210232000000 is an apocalyptic number.

10232000000 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 10232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12787336320).

10232000000 is an abundant number, since it is smaller than the sum of its proper divisors (15342672640).

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

10232000000 is an frugal number, since it uses more digits than its factorization.

10232000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 10232000000 its reverse (23201), we get a palindrome (10232023201).

The spelling of 10232000000 in words is "ten billion, two hundred thirty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1279 1280 1600 2000 2500 2558 2560 3125 3200 4000 5000 5116 6250 6395 6400 8000 10000 10232 12500 12790 12800 15625 16000 20000 20464 25000 25580 31250 31975 32000 40000 40928 50000 51160 62500 63950 64000 80000 81856 100000 102320 125000 127900 159875 160000 163712 200000 204640 250000 255800 319750 320000 327424 400000 409280 500000 511600 639500 654848 799375 800000 818560 1000000 1023200 1279000 1598750 1600000 1637120 2000000 2046400 2558000 3197500 3274240 3996875 4000000 4092800 5116000 6395000 7993750 8000000 8185600 10232000 12790000 15987500 16371200 19984375 20464000 25580000 31975000 39968750 40928000 51160000 63950000 79937500 81856000 102320000 127900000 159875000 204640000 255800000 319750000 409280000 511600000 639500000 1023200000 1279000000 2046400000 2558000000 5116000000 10232000000