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230113002300 = 223526133737313
BaseRepresentation
bin1101011001001111001…
…1011100001100111100
3210222221222012200212220
43112103303130030330
512232232412033200
6253413520125340
722424262150426
oct3262363341474
9728858180786
10230113002300
1189654877565
1238720466850
1318912c2b02c
14b1cd543816
155ebbe704a0
hex3593cdc33c

230113002300 has 144 divisors (see below), whose sum is σ = 678734495712. Its totient is φ = 60176793600.

The previous prime is 230113002299. The next prime is 230113002319. The reversal of 230113002300 is 3200311032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230113002300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6148444 + ... + 6185756.

It is an arithmetic number, because the mean of its divisors is an integer number (4713433998).

Almost surely, 2230113002300 is an apocalyptic number.

230113002300 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 230113002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339367247856).

230113002300 is an abundant number, since it is smaller than the sum of its proper divisors (448621493412).

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

230113002300 is a wasteful number, since it uses less digits than its factorization.

230113002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37728 (or 37721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 230113002300 its reverse (3200311032), we get a palindrome (233313313332).

The spelling of 230113002300 in words is "two hundred thirty billion, one hundred thirteen million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 337 366 610 674 732 915 1011 1220 1348 1525 1685 1830 2022 3050 3370 3660 4044 4575 5055 6100 6740 8425 9150 10110 16850 18300 20220 20557 25275 33700 37313 41114 50550 61671 74626 82228 101100 102785 111939 123342 149252 186565 205570 223878 246684 308355 373130 411140 447756 513925 559695 616710 746260 932825 1027850 1119390 1233420 1541775 1865650 2055700 2238780 2276093 2798475 3083550 3731300 4552186 5596950 6167100 6828279 9104372 11193900 11380465 12574481 13656558 22760930 25148962 27313116 34141395 37723443 45521860 50297924 56902325 62872405 68282790 75446886 113804650 125744810 136565580 150893772 170706975 188617215 227609300 251489620 314362025 341413950 377234430 628724050 682827900 754468860 767043341 943086075 1257448100 1534086682 1886172150 2301130023 3068173364 3772344300 3835216705 4602260046 7670433410 9204520092 11505650115 15340866820 19176083525 23011300230 38352167050 46022600460 57528250575 76704334100 115056501150 230113002300