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230120340320 = 25513127986501
BaseRepresentation
bin1101011001010000111…
…1011011101101100000
3210222222111000111202102
43112110033123231200
512232241301342240
6253414341305532
722424411422163
oct3262417335540
9728874014672
10230120340320
1189658a29742
1238722a052a8
13189145ca060
14b1d04d3ada
155ebc91e815
hex35943dbb60

230120340320 has 96 divisors (see below), whose sum is σ = 585943787520. Its totient is φ = 84900096000.

The previous prime is 230120340299. The next prime is 230120340323. The reversal of 230120340320 is 23043021032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230120340292 and 230120340301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230120340323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2617070 + ... + 2703570.

It is an arithmetic number, because the mean of its divisors is an integer number (6103581120).

Almost surely, 2230120340320 is an apocalyptic number.

230120340320 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 230120340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292971893760).

230120340320 is an abundant number, since it is smaller than the sum of its proper divisors (355823447200).

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

230120340320 is a wasteful number, since it uses less digits than its factorization.

230120340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87808 (or 87800 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 230120340320 its reverse (23043021032), we get a palindrome (253163361352).

The spelling of 230120340320 in words is "two hundred thirty billion, one hundred twenty million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1279 2080 2558 5116 6395 10232 12790 16627 20464 25580 33254 40928 51160 66508 83135 86501 102320 133016 166270 173002 204640 266032 332540 346004 432505 532064 665080 692008 865010 1124513 1330160 1384016 1730020 2249026 2660320 2768032 3460040 4498052 5622565 6920080 8996104 11245130 13840160 17992208 22490260 35984416 44980520 89961040 110634779 179922080 221269558 442539116 553173895 885078232 1106347790 1438252127 1770156464 2212695580 2876504254 3540312928 4425391160 5753008508 7191260635 8850782320 11506017016 14382521270 17701564640 23012034032 28765042540 46024068064 57530085080 115060170160 230120340320