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230211130120 = 23510156982953
BaseRepresentation
bin1101011001100110100…
…1110001001100001000
3211000012210212002221121
43112121221301030020
512232433022130440
6253431343245024
722426563214366
oct3263151611410
9730183762847
10230211130120
11896a51aa434
12387492a9774
131892a36762a
14b1dc5a8636
155ec58a534a
hex3599a71308

230211130120 has 32 divisors (see below), whose sum is σ = 523103517720. Its totient is φ = 91172723200.

The previous prime is 230211130091. The next prime is 230211130129. The reversal of 230211130120 is 21031112032.

It can be written as a sum of positive squares in 4 ways, for example, as 225554705476 + 4656424644 = 474926^2 + 68238^2 .

It is a super-2 number, since 2×2302111301202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230211130094 and 230211130103.

It is not an unprimeable number, because it can be changed into a prime (230211130129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28487437 + ... + 28495516.

Almost surely, 2230211130120 is an apocalyptic number.

230211130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230211130120 is an abundant number, since it is smaller than the sum of its proper divisors (292892387600).

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

230211130120 is a wasteful number, since it uses less digits than its factorization.

230211130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56983065 (or 56983061 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 230211130120 its reverse (21031112032), we get a palindrome (251242242152).

The spelling of 230211130120 in words is "two hundred thirty billion, two hundred eleven million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 56982953 113965906 227931812 284914765 455863624 569829530 1139659060 2279318120 5755278253 11510556506 23021113012 28776391265 46042226024 57552782530 115105565060 230211130120