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13333211320 = 235111323101347
BaseRepresentation
bin11000110101011100…
…01010100010111000
31021102012210022110111
430122232022202320
5204301300230240
610043012554104
7651260266132
oct143256124270
937365708414
1013333211320
115722283010
122701322934
13134642a370
14906b06052
155308211ea
hex31ab8a8b8

13333211320 has 128 divisors (see below), whose sum is σ = 36777162240. Its totient is φ = 4280855040.

The previous prime is 13333211317. The next prime is 13333211327. The reversal of 13333211320 is 2311233331.

It is a super-2 number, since 2×133332113202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13333211291 and 13333211300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333211327) 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, 80887 + ... + 182233.

It is an arithmetic number, because the mean of its divisors is an integer number (287321580).

Almost surely, 213333211320 is an apocalyptic number.

13333211320 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 13333211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388581120).

13333211320 is an abundant number, since it is smaller than the sum of its proper divisors (23443950920).

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

13333211320 is a wasteful number, since it uses less digits than its factorization.

13333211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101405 (or 101401 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13333211320 its reverse (2311233331), we get a palindrome (15644444651).

The spelling of 13333211320 in words is "thirteen billion, three hundred thirty-three million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 23 26 40 44 46 52 55 65 88 92 104 110 115 130 143 184 220 230 253 260 286 299 440 460 506 520 572 598 715 920 1012 1144 1196 1265 1430 1495 2024 2392 2530 2860 2990 3289 5060 5720 5980 6578 10120 11960 13156 16445 26312 32890 65780 101347 131560 202694 405388 506735 810776 1013470 1114817 1317511 2026940 2229634 2330981 2635022 4053880 4459268 4661962 5270044 5574085 6587555 8918536 9323924 10540088 11148170 11654905 13175110 14492621 18647848 22296340 23309810 25640791 26350220 28985242 30302753 44592680 46619620 51281582 52700440 57970484 60605506 72463105 93239240 102563164 115940968 121211012 128203955 144926210 151513765 205126328 242422024 256407910 289852420 303027530 333330283 512815820 579704840 606055060 666660566 1025631640 1212110120 1333321132 1666651415 2666642264 3333302830 6666605660 13333211320