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13233111320 = 23511134749223
BaseRepresentation
bin11000101001100000…
…10100000100011000
31021011020102201002002
430110300110010120
5204100134030240
610025035300132
7645633406322
oct142460240430
937136381062
1013233111320
115680823440
1226938aa648
13132b7801b0
148d76ca612
15526b4bd15
hex314c14118

13233111320 has 128 divisors (see below), whose sum is σ = 35724810240. Its totient is φ = 4347287040.

The previous prime is 13233111313. The next prime is 13233111323. The reversal of 13233111320 is 2311133231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13233111292 and 13233111301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233111323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244229 + ... + 293451.

It is an arithmetic number, because the mean of its divisors is an integer number (279100080).

Almost surely, 213233111320 is an apocalyptic number.

13233111320 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 13233111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862405120).

13233111320 is an abundant number, since it is smaller than the sum of its proper divisors (22491698920).

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

13233111320 is a wasteful number, since it uses less digits than its factorization.

13233111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49305 (or 49301 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13233111320 its reverse (2311133231), we get a palindrome (15544244551).

The spelling of 13233111320 in words is "thirteen billion, two hundred thirty-three million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 47 52 55 65 88 94 104 110 130 143 188 220 235 260 286 376 440 470 517 520 572 611 715 940 1034 1144 1222 1430 1880 2068 2444 2585 2860 3055 4136 4888 5170 5720 6110 6721 10340 12220 13442 20680 24440 26884 33605 49223 53768 67210 98446 134420 196892 246115 268840 393784 492230 541453 639899 984460 1082906 1279798 1968920 2165812 2313481 2559596 2707265 3199495 4331624 4626962 5119192 5414530 6398990 7038889 9253924 10829060 11567405 12797980 14077778 18507848 21658120 23134810 25448291 25595960 28155556 30075253 35194445 46269620 50896582 56311112 60150506 70388890 92539240 101793164 120301012 127241455 140777780 150376265 203586328 240602024 254482910 281555560 300752530 330827783 508965820 601505060 661655566 1017931640 1203010120 1323311132 1654138915 2646622264 3308277830 6616555660 13233111320