Search a number
-
+
231311133300 = 2235213251236297
BaseRepresentation
bin1101011101101100110…
…1111100101001110100
3211010001110201001122010
43113123031330221310
512242211122231200
6254132440204220
722466051122632
oct3273315745164
9733043631563
10231311133300
118a10a117075
12389b5769670
1318a742198a0
14b2a4708352
15603c23c150
hex35db37ca74

231311133300 has 144 divisors (see below), whose sum is σ = 723616310592. Its totient is φ = 56711040000.

The previous prime is 231311133281. The next prime is 231311133329. The reversal of 231311133300 is 3331113132.

It is a congruent number.

It is an unprimeable number.

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, 860752 + ... + 1097048.

It is an arithmetic number, because the mean of its divisors is an integer number (5025113268).

Almost surely, 2231311133300 is an apocalyptic number.

231311133300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231311133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361808155296).

231311133300 is an abundant number, since it is smaller than the sum of its proper divisors (492305177292).

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

231311133300 is a wasteful number, since it uses less digits than its factorization.

231311133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236578 (or 236571 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 231311133300 its reverse (3331113132), we get a palindrome (234642246432).

The spelling of 231311133300 in words is "two hundred thirty-one billion, three hundred eleven million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 251 260 300 325 390 502 650 753 780 975 1004 1255 1300 1506 1950 2510 3012 3263 3765 3900 5020 6275 6526 7530 9789 12550 13052 15060 16315 18825 19578 25100 32630 37650 39156 48945 65260 75300 81575 97890 163150 195780 236297 244725 326300 472594 489450 708891 945188 978900 1181485 1417782 2362970 2835564 3071861 3544455 4725940 5907425 6143722 7088910 9215583 11814850 12287444 14177820 15359305 17722275 18431166 23629700 30718610 35444550 36862332 46077915 59310547 61437220 70889100 76796525 92155830 118621094 153593050 177931641 184311660 230389575 237242188 296552735 307186100 355863282 460779150 593105470 711726564 771037111 889658205 921558300 1186210940 1482763675 1542074222 1779316410 2313111333 2965527350 3084148444 3558632820 3855185555 4448291025 4626222666 5931054700 7710371110 8896582050 9252445332 11565556665 15420742220 17793164100 19275927775 23131113330 38551855550 46262226660 57827783325 77103711100 115655566650 231311133300