Search a number
-
+
201132112231330 = 257172571798936559
BaseRepresentation
bin101101101110110110111000…
…000110100011101110100010
3222101011001010201112012100021
4231232312320012203232202
5202330322031212400310
61551434452231344054
760236213145436660
oct5556667006435642
9871131121465307
10201132112231330
11590a571693aaa5
121a68490152202a
13882c8a4c10467
143794bbbc87c30
15183bd93cea5da
hexb6edb81a3ba2

201132112231330 has 128 divisors (see below), whose sum is σ = 439837296998400. Its totient is φ = 64645231804416.

The previous prime is 201132112231301. The next prime is 201132112231363. The reversal of 201132112231330 is 33132211231102.

It is a junction number, because it is equal to n+sod(n) for n = 201132112231295 and 201132112231304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5501557591 + ... + 5501594149.

It is an arithmetic number, because the mean of its divisors is an integer number (3436228882800).

Almost surely, 2201132112231330 is an apocalyptic number.

201132112231330 is an abundant number, since it is smaller than the sum of its proper divisors (238705184767070).

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

201132112231330 is a wasteful number, since it uses less digits than its factorization.

201132112231330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54836.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 201132112231330 its reverse (33132211231102), we get a palindrome (234264323462432).

The spelling of 201132112231330 in words is "two hundred one trillion, one hundred thirty-two billion, one hundred twelve million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 257 514 595 1190 1285 1799 2570 3598 4369 8738 8995 17989 17990 21845 30583 35978 36559 43690 61166 73118 89945 125923 152915 179890 182795 251846 255913 305813 305830 365590 511826 611626 621503 629615 1243006 1259230 1279565 1529065 2140691 2559130 3058130 3107515 4281382 4350521 4623173 6215030 8701042 9246346 9395663 10703455 18791326 21406910 21752605 23115865 32362211 43505210 46231730 46978315 64724422 65769641 78593941 93956630 131539282 157187882 159726271 161811055 319452542 323622110 328848205 392969705 550157587 657659851 657696410 785939410 798631355 1100315174 1118083897 1315319702 1597262710 2236167794 2750787935 3288299255 4603618957 5501575870 5590419485 6576598510 9207237914 11180217467 11180838970 22360434934 23018094785 46036189570 55901087335 78261522269 111802174670 156523044538 169018581707 338037163414 391307611345 782615222690 845092908535 1183130071949 1690185817070 2366260143898 2873315889019 5746631778038 5915650359745 11831300719490 14366579445095 20113211223133 28733158890190 40226422446266 100566056115665 201132112231330