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243130133520 = 24335176621191
BaseRepresentation
bin1110001001101110101…
…1110110110000010000
3212020120011020110222000
43202123223312300100
512440412303233040
6303405322314000
723364664015341
oct3423353666020
9766504213860
10243130133520
119412469294a
123b153958900
1319c08a1a441
14baa628c0c8
1564ceb58130
hex389baf6c10

243130133520 has 160 divisors (see below), whose sum is σ = 886710032640. Its totient is φ = 61020887040.

The previous prime is 243130133513. The next prime is 243130133549. The reversal of 243130133520 is 25331031342.

243130133520 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 3 + 0 + 133 + 520 = 666.

243130133520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2431301335202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3273876 + ... + 3347315.

It is an arithmetic number, because the mean of its divisors is an integer number (5541937704).

Almost surely, 2243130133520 is an apocalyptic number.

243130133520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243130133520 is an abundant number, since it is smaller than the sum of its proper divisors (643579899120).

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

243130133520 is a wasteful number, since it uses less digits than its factorization.

243130133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6621230 (or 6621218 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 243130133520 its reverse (25331031342), we get a palindrome (268461164862).

The spelling of 243130133520 in words is "two hundred forty-three billion, one hundred thirty million, one hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 6621191 13242382 19863573 26484764 33105955 39727146 52969528 59590719 66211910 79454292 99317865 105939056 112560247 119181438 132423820 158908584 178772157 198635730 225120494 238362876 264847640 297953595 317817168 337680741 357544314 397271460 450240988 476725752 529695280 562801235 595907190 675361482 715088628 794542920 893860785 900481976 953451504 1013042223 1125602470 1191814380 1350722964 1430177256 1589085840 1688403705 1787721570 1800963952 2026084446 2251204940 2383628760 2701445928 2860354512 3039126669 3376807410 3575443140 4052168892 4502409880 4767257520 5065211115 5402891856 6078253338 6753614820 7150886280 8104337784 9004819760 10130422230 12156506676 13507229640 14301772560 15195633345 16208675568 20260844460 24313013352 27014459280 30391266690 40521688920 48626026704 60782533380 81043377840 121565066760 243130133520