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13303413222 = 23113121371531
BaseRepresentation
bin11000110001111000…
…11111100111100110
31021100010201102011020
430120330133213212
5204221133210342
610040030152010
7650446101201
oct143074374746
937303642136
1013303413222
115707480290
1226b3352606
1313401c6258
14902b8a938
1552cdd70ec
hex318f1f9e6

13303413222 has 96 divisors (see below), whose sum is σ = 30230796672. Its totient is φ = 3870288000.

The previous prime is 13303413203. The next prime is 13303413239. The reversal of 13303413222 is 22231430331.

It is a super-4 number, since 4×133034132224 (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13303413192 and 13303413201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8688597 + ... + 8690127.

It is an arithmetic number, because the mean of its divisors is an integer number (314904132).

Almost surely, 213303413222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13303413222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115398336).

13303413222 is an abundant number, since it is smaller than the sum of its proper divisors (16927383450).

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

13303413222 is a wasteful number, since it uses less digits than its factorization.

13303413222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13303413222 its reverse (22231430331), we get a palindrome (35534843553).

The spelling of 13303413222 in words is "thirteen billion, three hundred three million, four hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 137 186 274 341 411 682 822 961 1023 1507 1531 1922 2046 2883 3014 3062 4247 4521 4593 5766 8494 9042 9186 10571 12741 16841 21142 25482 31713 33682 46717 47461 50523 63426 93434 94922 101046 131657 140151 142383 209747 263314 280302 284766 394971 419494 522071 629241 789942 1044142 1258482 1448227 1471291 1566213 2307217 2896454 2942582 3132426 4344681 4413873 4614434 6502157 6921651 8689362 8827746 13004314 13843302 16184201 19506471 32368402 39012942 48552603 71523727 97105206 143047454 201566867 214571181 403133734 429142362 604700601 1209401202 2217235537 4434471074 6651706611 13303413222