Search a number
-
+
232131324353550 = 235245727883121447
BaseRepresentation
bin110100110001111101001001…
…001000010001110000001110
31010102220112112010010001011220
4310301331021020101300032
5220411214423013303200
62141411354102224210
766615635421060366
oct6461751110216016
91112815463101156
10232131324353550
1167a67383a45786
1222050732a25066
139c6ab7531ab6b
144147304b899a6
151bc84060aa4a0
hexd31f49211c0e

232131324353550 has 96 divisors (see below), whose sum is σ = 576970832908032. Its totient is φ = 61763510465280.

The previous prime is 232131324353443. The next prime is 232131324353557. The reversal of 232131324353550 is 55353423131232.

It is a super-2 number, since 2×2321313243535502 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232131324353557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1911318927 + ... + 1911440373.

It is an arithmetic number, because the mean of its divisors is an integer number (6010112842792).

Almost surely, 2232131324353550 is an apocalyptic number.

232131324353550 is an abundant number, since it is smaller than the sum of its proper divisors (344839508554482).

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

232131324353550 is a wasteful number, since it uses less digits than its factorization.

232131324353550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149802 (or 149797 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 42.

Adding to 232131324353550 its reverse (55353423131232), we get a palindrome (287484747484782).

The spelling of 232131324353550 in words is "two hundred thirty-two trillion, one hundred thirty-one billion, three hundred twenty-four million, three hundred fifty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 457 914 1371 2285 2742 4570 6855 11425 13710 22850 27883 34275 55766 68550 83649 121447 139415 167298 242894 278830 364341 418245 607235 697075 728682 836490 1214470 1394150 1821705 2091225 3036175 3643410 4182450 6072350 9108525 12742531 18217050 25485062 38227593 55501279 63712655 76455186 111002558 127425310 166503837 191137965 277506395 318563275 333007674 382275930 555012790 637126550 832519185 955689825 1387531975 1665038370 1911379650 2775063950 3386306701 4162595925 6772613402 8325191850 10158920103 16931533505 20317840206 33863067010 50794600515 84657667525 101589201030 169315335050 253973002575 507946005150 1547542162357 3095084324714 4642626487071 7737710811785 9285252974142 15475421623570 23213132435355 38688554058925 46426264870710 77377108117850 116065662176775 232131324353550