Search a number
-
+
230412013101012 = 2231953173211100833
BaseRepresentation
bin110100011000111011111010…
…001100010101111111010100
31010012211011200100122221121110
4310120323322030111333110
5220200032300323213022
62134013452331215020
766350501323415121
oct6430737214257724
91105734610587543
10230412013101012
1167464205626356
1221a13484ba7470
139b749b4b0a152
1440c8002801748
151b9882a21e00c
hexd18efa315fd4

230412013101012 has 96 divisors (see below), whose sum is σ = 576635871611520. Its totient is φ = 71384639938560.

The previous prime is 230412013100999. The next prime is 230412013101019. The reversal of 230412013101012 is 210101310214032.

It is a self number, because there is not a number n which added to its sum of digits gives 230412013101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230412013101019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208756548 + ... + 209857380.

It is an arithmetic number, because the mean of its divisors is an integer number (6006623662620).

Almost surely, 2230412013101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230412013101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288317935805760).

230412013101012 is an abundant number, since it is smaller than the sum of its proper divisors (346223858510508).

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

230412013101012 is a wasteful number, since it uses less digits than its factorization.

230412013101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118233 (or 1118231 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 230412013101012 its reverse (210101310214032), we get a palindrome (440513323315044).

The spelling of 230412013101012 in words is "two hundred thirty trillion, four hundred twelve billion, thirteen million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 1007 2014 3021 4028 6042 12084 17321 34642 51963 69284 103926 207852 329099 658198 918013 987297 1100833 1316396 1836026 1974594 2201666 2754039 3302499 3672052 3949188 4403332 5508078 6604998 11016156 13209996 17442247 20915827 34884494 41831654 52326741 58344149 62747481 69768988 83663308 104653482 116688298 125494962 175032447 209306964 233376596 250989924 350064894 700129788 1108538831 2217077662 3325616493 4434155324 6651232986 13302465972 19067528393 38135056786 57202585179 76270113572 114405170358 228810340716 362283039467 724566078934 1010579004829 1086849118401 1449132157868 2021158009658 2173698236802 3031737014487 4042316019316 4347396473604 6063474028974 12126948057948 19201001091751 38402002183502 57603003275253 76804004367004 115206006550506 230412013101012