Search a number
-
+
230212510012065 = 35747193643375901
BaseRepresentation
bin110100010110000010000110…
…111000011101001010100001
31010012010002201122101221221010
4310112002012320131022201
5220133300210030341230
62133342100031451133
766330206415221310
oct6426020670351241
91105102648357833
10230212510012065
1167397639301849
12219a0887986aa9
139b5bc3c7310a9
1440bc4b8710277
151b935507029b0
hexd16086e1d2a1

230212510012065 has 128 divisors (see below), whose sum is σ = 432817387978752. Its totient is φ = 102307542220800.

The previous prime is 230212510012027. The next prime is 230212510012153. The reversal of 230212510012065 is 560210015212032.

It is not a de Polignac number, because 230212510012065 - 219 = 230212509487777 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 612240615 + ... + 612616515.

It is an arithmetic number, because the mean of its divisors is an integer number (3381385843584).

Almost surely, 2230212510012065 is an apocalyptic number.

It is an amenable number.

230212510012065 is a deficient number, since it is larger than the sum of its proper divisors (202604877966687).

230212510012065 is a wasteful number, since it uses less digits than its factorization.

230212510012065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376799.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 230212510012065 its reverse (560210015212032), we get a palindrome (790422525224097).

The spelling of 230212510012065 in words is "two hundred thirty trillion, two hundred twelve billion, five hundred ten million, twelve thousand, sixty-five".

Divisors: 1 3 5 7 15 21 35 47 105 141 193 235 329 579 643 705 965 987 1351 1645 1929 2895 3215 4053 4501 4935 6755 9071 9645 13503 20265 22505 27213 30221 45355 63497 67515 90663 124099 136065 151105 190491 211547 317485 372297 375901 453315 620495 634641 868693 952455 1057735 1127703 1861485 1879505 2606079 2631307 3173205 4343465 5638515 5832653 7893921 13030395 13156535 17497959 17667347 29163265 39469605 40828571 53002041 72548893 87489795 88336735 122485713 123671429 204142855 217646679 241704343 265010205 362744465 371014287 507842251 612428565 618357145 725113029 1088233395 1208521715 1523526753 1691930401 1855071435 2539211255 3409797971 3625565145 5075791203 7617633765 8459652005 10229393913 11360104121 17048989855 23868585797 25378956015 34080312363 46648938199 51146969565 56800520605 71605757391 79520728847 119342928985 139946814597 170401561815 233244690995 238562186541 326542567393 358028786955 397603644235 699734072985 979627702179 1192810932705 1632712836965 2192500095353 4898138510895 6577500286059 10962500476765 15347500667471 32887501430295 46042502002413 76737503337355 230212510012065