Search a number
-
+
230120002210131 = 321117235944870759
BaseRepresentation
bin110100010100101011111100…
…111111001100100101010011
31010011210020221121122201021200
4310110223330333030211103
5220130241231031211011
62133231400344322243
766320423114662665
oct6424537477144523
91104706847581250
10230120002210131
1167361388038a80
122198696b173383
139b532b91aa457
1440b7c20730535
151b90e39108856
hexd14afcfcc953

230120002210131 has 48 divisors (see below), whose sum is σ = 400636730257920. Its totient is φ = 125555670408960.

The previous prime is 230120002210121. The next prime is 230120002210159. The reversal of 230120002210131 is 131012200021032.

230120002210131 is a `hidden beast` number, since 2 + 301 + 20 + 0 + 0 + 2 + 210 + 131 = 666.

It is not a de Polignac number, because 230120002210131 - 213 = 230120002201939 is a prime.

It is a super-2 number, since 2×2301200022101312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230120002210121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2972396671 + ... + 2972474088.

It is an arithmetic number, because the mean of its divisors is an integer number (8346598547040).

Almost surely, 2230120002210131 is an apocalyptic number.

230120002210131 is a deficient number, since it is larger than the sum of its proper divisors (170516728047789).

230120002210131 is a wasteful number, since it uses less digits than its factorization.

230120002210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944870816 (or 5944870813 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 230120002210131 its reverse (131012200021032), we get a palindrome (361132202231163).

The spelling of 230120002210131 in words is "two hundred thirty trillion, one hundred twenty billion, two million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 11 17 23 33 51 69 99 153 187 207 253 391 561 759 1173 1683 2277 3519 4301 12903 38709 5944870759 17834612277 53503836831 65393578349 101062802903 136732027457 196180735047 303188408709 410196082371 588542205141 909565226127 1111690831933 1230588247113 1504052302027 2324444466769 3335072495799 4512156906081 6973333400307 10005217487397 13536470718243 20920000200921 25568889134459 76706667403377 230120002210131