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230466102120 = 2334571131513
BaseRepresentation
bin1101011010100011011…
…0011010001101101000
3211000212120122000210000
43112220312122031220
512233443310231440
6253512532223000
722436110355112
oct3265066321550
9730776560700
10230466102120
11898161196a1
12387ba76aa60
131896b12b137
14b2243ba3b2
155edce6c730
hex35a8d9a368

230466102120 has 80 divisors (see below), whose sum is σ = 774622187460. Its totient is φ = 61457626368.

The previous prime is 230466102079. The next prime is 230466102133. The reversal of 230466102120 is 21201664032.

230466102120 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 6 + 610 + 21 + 20 = 666.

230466102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 227924127396 + 2541974724 = 477414^2 + 50418^2 .

It is a super-2 number, since 2×2304661021202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35562517 + ... + 35568996.

Almost surely, 2230466102120 is an apocalyptic number.

230466102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230466102120 is an abundant number, since it is smaller than the sum of its proper divisors (544156085340).

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

230466102120 is a wasteful number, since it uses less digits than its factorization.

230466102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71131536 (or 71131523 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 230466102120 its reverse (21201664032), we get a palindrome (251667766152).

The spelling of 230466102120 in words is "two hundred thirty billion, four hundred sixty-six million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 71131513 142263026 213394539 284526052 355657565 426789078 569052104 640183617 711315130 853578156 1066972695 1280367234 1422630260 1707156312 1920550851 2133945390 2560734468 2845260520 3200918085 3841101702 4267890780 5121468936 5761652553 6401836170 7682203404 8535781560 9602754255 11523305106 12803672340 15364406808 19205508510 23046610212 25607344680 28808262765 38411017020 46093220424 57616525530 76822034040 115233051060 230466102120