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13313223120 = 2435432275683
BaseRepresentation
bin11000110011000011…
…11010100111010000
31021100211011210210210
430121201322213100
5204231141114440
610041020324120
7650625346401
oct143141724720
937324153723
1013313223120
115711a7063a
1226b66a3640
13134224c422
149041c19a8
1552dbc3a80
hex31987a9d0

13313223120 has 160 divisors (see below), whose sum is σ = 42424284672. Its totient is φ = 3451746816.

The previous prime is 13313223113. The next prime is 13313223127. The reversal of 13313223120 is 2132231331.

It is an interprime number because it is at equal distance from previous prime (13313223113) and next prime (13313223127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313223127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2339799 + ... + 2345481.

Almost surely, 213313223120 is an apocalyptic number.

13313223120 is a gapful number since it is divisible by the number (10) 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 13313223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212142336).

13313223120 is an abundant number, since it is smaller than the sum of its proper divisors (29111061552).

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

13313223120 is a wasteful number, since it uses less digits than its factorization.

13313223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13313223120 its reverse (2132231331), we get a palindrome (15445454451).

The spelling of 13313223120 in words is "thirteen billion, three hundred thirteen million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 227 240 258 344 430 454 516 645 681 688 860 908 1032 1135 1290 1362 1720 1816 2064 2270 2580 2724 3405 3440 3632 4540 5160 5448 5683 6810 9080 9761 10320 10896 11366 13620 17049 18160 19522 22732 27240 28415 29283 34098 39044 45464 48805 54480 56830 58566 68196 78088 85245 90928 97610 113660 117132 136392 146415 156176 170490 195220 227320 234264 244369 272784 292830 340980 390440 454640 468528 488738 585660 681960 733107 780880 977476 1171320 1221845 1290041 1363920 1466214 1954952 2342640 2443690 2580082 2932428 3665535 3870123 3909904 4887380 5160164 5864856 6450205 7331070 7740246 9774760 10320328 11729712 12900410 14662140 15480492 19350615 19549520 20640656 25800820 29324280 30960984 38701230 51601640 55471763 58648560 61921968 77402460 103203280 110943526 154804920 166415289 221887052 277358815 309609840 332830578 443774104 554717630 665661156 832076445 887548208 1109435260 1331322312 1664152890 2218870520 2662644624 3328305780 4437741040 6656611560 13313223120