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23302302231330 = 2335431466342943
BaseRepresentation
bin1010100110001011111010…
…11100100110101100100010
310001111200022111201021112000
411103011331130212230202
511023241103332400310
6121320532503344430
74623351525605133
oct523057534465442
9101450274637460
1023302302231330
1174744a6135531
122744185a52116
1310005228b91a5
145a7ba1d45c8a
152a622de4b4c0
hex15317d726b22

23302302231330 has 128 divisors (see below), whose sum is σ = 62298455408640. Its totient is φ = 6198055899840.

The previous prime is 23302302231323. The next prime is 23302302231391. The reversal of 23302302231330 is 3313220320332.

23302302231330 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 2 + 302 + 23 + 1 + 330 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23302302231294 and 23302302231303.

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 63 ways as a sum of consecutive naturals, for example, 542611839 + ... + 542654781.

It is an arithmetic number, because the mean of its divisors is an integer number (486706682880).

Almost surely, 223302302231330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23302302231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31149227704320).

23302302231330 is an abundant number, since it is smaller than the sum of its proper divisors (38996153177310).

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

23302302231330 is a wasteful number, since it uses less digits than its factorization.

23302302231330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48053 (or 48047 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 23302302231330 its reverse (3313220320332), we get a palindrome (26615522551662).

The spelling of 23302302231330 in words is "twenty-three trillion, three hundred two billion, three hundred two million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 431 862 1293 2155 2586 3879 4310 4663 6465 7758 9326 11637 12930 13989 19395 23274 23315 27978 38790 41967 42943 46630 58185 69945 83934 85886 116370 125901 128829 139890 209835 214715 251802 257658 386487 419670 429430 629505 644145 772974 1159461 1259010 1288290 1932435 2009753 2318922 3864870 4019506 5797305 6029259 10048765 11594610 12058518 18087777 18508433 20097530 30146295 36175554 37016866 54263331 55525299 60292590 90438885 92542165 108526662 111050598 166575897 180877770 185084330 200243209 271316655 277626495 333151794 400486418 499727691 542633310 555252990 600729627 832879485 999455382 1001216045 1201459254 1665758970 1802188881 2002432090 2498638455 3003648135 3604377762 4997276910 5406566643 6007296270 9010944405 10813133286 18021888810 27032833215 54065666430 86304823079 172609646158 258914469237 431524115395 517828938474 776743407711 863048230790 1294572346185 1553486815422 2330230223133 2589144692370 3883717038555 4660460446266 7767434077110 11651151115665 23302302231330