Search a number
-
+
11331023000310 = 2335137940863439
BaseRepresentation
bin1010010011100011010110…
…0110011101001011110110
31111010020100110211102001000
42210320311212131023312
52441121413342002220
640033222231144130
72246432212232016
oct244706546351366
944106313742030
1011331023000310
1136795070a2542
121330040815046
13642684548b80
142b25d2939c46
15149b2c6b8390
hexa4e3599d2f6

11331023000310 has 128 divisors (see below), whose sum is σ = 32952278016000. Its totient is φ = 2753868813696.

The previous prime is 11331023000303. The next prime is 11331023000333. The reversal of 11331023000310 is 1300032013311.

It is a happy number.

11331023000310 is a `hidden beast` number, since 1 + 1 + 331 + 0 + 2 + 300 + 0 + 31 + 0 = 666.

It is a super-2 number, since 2×113310230003102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 20154430 + ... + 20709009.

It is an arithmetic number, because the mean of its divisors is an integer number (257439672000).

Almost surely, 211331023000310 is an apocalyptic number.

11331023000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11331023000310 is an abundant number, since it is smaller than the sum of its proper divisors (21621255015690).

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

11331023000310 is a wasteful number, since it uses less digits than its factorization.

11331023000310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40863547 (or 40863541 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11331023000310 its reverse (1300032013311), we get a palindrome (12631055013621).

The spelling of 11331023000310 in words is "eleven trillion, three hundred thirty-one billion, twenty-three million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 79 90 117 130 135 158 195 234 237 270 351 390 395 474 585 702 711 790 1027 1170 1185 1422 1755 2054 2133 2370 3081 3510 3555 4266 5135 6162 7110 9243 10270 10665 15405 18486 21330 27729 30810 46215 55458 92430 138645 277290 40863439 81726878 122590317 204317195 245180634 367770951 408634390 531224707 612951585 735541902 1062449414 1103312853 1225903170 1593674121 1838854755 2206625706 2656123535 3187348242 3228211681 3677709510 4781022363 5312247070 5516564265 6456423362 7968370605 9562044726 9684635043 11033128530 14343067089 15936741210 16141058405 19369270086 23905111815 28686134178 29053905129 32282116810 41966751853 47810223630 48423175215 58107810258 71715335445 83933503706 87161715387 96846350430 125900255559 143430670890 145269525645 174323430774 209833759265 251800511118 290539051290 377700766677 419667518530 435808576935 629501277795 755401533354 871617153870 1133102300031 1259002555590 1888503833385 2266204600062 3777007666770 5665511500155 11331023000310