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230002120000 = 265446112473
BaseRepresentation
bin1101011000110100110…
…0011101010101000000
3210222200020120021222001
43112031030131111000
512232021020320000
6253354515353344
722421444522422
oct3261514352500
9728606507861
10230002120000
11895a8222aa4
12386ab2b2854
13188c5c771c3
14b1bc91c812
155eb236b46a
hex358d31d540

230002120000 has 140 divisors (see below), whose sum is σ = 571613490756. Its totient is φ = 91793920000.

The previous prime is 230002119959. The next prime is 230002120043. The reversal of 230002120000 is 21200032.

It can be written as a sum of positive squares in 10 ways, for example, as 174810954816 + 55191165184 = 418104^2 + 234928^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 19 ways as a sum of consecutive naturals, for example, 18433764 + ... + 18446236.

Almost surely, 2230002120000 is an apocalyptic number.

230002120000 is a gapful number since it is divisible by the number (20) 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 230002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285806745378).

230002120000 is an abundant number, since it is smaller than the sum of its proper divisors (341611370756).

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

230002120000 is an equidigital number, since it uses as much as digits as its factorization.

230002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12966 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 230002120000 its reverse (21200032), we get a palindrome (230023320032).

The spelling of 230002120000 in words is "two hundred thirty billion, two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 461 500 625 800 922 1000 1250 1600 1844 2000 2305 2500 3688 4000 4610 5000 7376 8000 9220 10000 11525 12473 14752 18440 20000 23050 24946 29504 36880 40000 46100 49892 57625 62365 73760 92200 99784 115250 124730 147520 184400 199568 230500 249460 288125 311825 368800 399136 461000 498920 576250 623650 737600 798272 922000 997840 1152500 1247300 1559125 1844000 1995680 2305000 2494600 3118250 3688000 3991360 4610000 4989200 5750053 6236500 7795625 9220000 9978400 11500106 12473000 15591250 18440000 19956800 23000212 24946000 28750265 31182500 46000424 49892000 57500530 62365000 92000848 99784000 115001060 124730000 143751325 184001696 230002120 249460000 287502650 368003392 460004240 498920000 575005300 718756625 920008480 1150010600 1437513250 1840016960 2300021200 2875026500 3593783125 4600042400 5750053000 7187566250 9200084800 11500106000 14375132500 23000212000 28750265000 46000424000 57500530000 115001060000 230002120000