Search a number
-
+
311001001212132 = 2232711831351731607
BaseRepresentation
bin100011010110110101001000…
…0001100111011100011100100
31111210011101221111120010000100
41012231222100030323203210
5311230420022302242012
63021235515415144100
7122336036506063260
oct10655522014734344
91453141844503010
10311001001212132
119010486944a980
122aa6a0b2075030
131046c36509b98a
1456b2758d530a0
1525e4cb2d888dc
hex11ada9033b8e4

311001001212132 has 144 divisors (see below), whose sum is σ = 991933095508992. Its totient is φ = 79806234018240.

The previous prime is 311001001212119. The next prime is 311001001212137. The reversal of 311001001212132 is 231212100100113.

311001001212132 is a `hidden beast` number, since 311 + 0 + 0 + 10 + 0 + 1 + 212 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311001001212137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675635728 + ... + 676095879.

It is an arithmetic number, because the mean of its divisors is an integer number (6888424274368).

Almost surely, 2311001001212132 is an apocalyptic number.

It is an amenable number.

311001001212132 is an abundant number, since it is smaller than the sum of its proper divisors (680932094296860).

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

311001001212132 is a wasteful number, since it uses less digits than its factorization.

311001001212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351731718 (or 1351731713 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 311001001212132 its reverse (231212100100113), we get a palindrome (542213101312245).

The spelling of 311001001212132 in words is "three hundred eleven trillion, one billion, one million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 83 84 99 126 132 154 166 198 231 249 252 308 332 396 462 498 581 693 747 913 924 996 1162 1386 1494 1743 1826 2324 2739 2772 2988 3486 3652 5229 5478 6391 6972 8217 10458 10956 12782 16434 19173 20916 25564 32868 38346 57519 76692 115038 230076 1351731607 2703463214 4055194821 5406926428 8110389642 9462121249 12165584463 14869047677 16220779284 18924242498 24331168926 28386363747 29738095354 37848484996 44607143031 48662337852 56772727494 59476190708 85159091241 89214286062 104083333739 112193723381 113545454988 133821429093 170318182482 178428572124 208166667478 224387446762 267642858186 312250001217 336581170143 340636364964 416333334956 448774893524 535285716372 624500002434 673162340286 785356063667 936750003651 1009743510429 1234130957191 1249000004868 1346324680572 1570712127334 1873500007302 2019487020858 2356068191001 2468261914382 3141424254668 3702392871573 3747000014604 4038974041716 4712136382002 4936523828764 7068204573003 7404785743146 8638916700337 9424272764004 11107178614719 14136409146006 14809571486292 17277833400674 22214357229438 25916750101011 28272818292012 34555666801348 44428714458876 51833500202022 77750250303033 103667000404044 155500500606066 311001001212132