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13021133033320 = 23517232812962823
BaseRepresentation
bin1011110101111011100000…
…0000100100111101101000
31201002210211011000212001021
42331132320000210331220
53201314240024031240
643405454222502224
72512513546412416
oct275367000447550
951083734025037
1013021133033320
114170260156495
1215636bb134974
13735b7000b569
143303249a82b6
15178a99b1154a
hexbd7b8024f68

13021133033320 has 128 divisors (see below), whose sum is σ = 32484876387840. Its totient is φ = 4672251781120.

The previous prime is 13021133033267. The next prime is 13021133033357. The reversal of 13021133033320 is 2333033112031.

13021133033320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2913429 + ... + 5876251.

It is an arithmetic number, because the mean of its divisors is an integer number (253788096780).

Almost surely, 213021133033320 is an apocalyptic number.

13021133033320 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 13021133033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16242438193920).

13021133033320 is an abundant number, since it is smaller than the sum of its proper divisors (19463743354520).

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

13021133033320 is a wasteful number, since it uses less digits than its factorization.

13021133033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963155 (or 2963151 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13021133033320 its reverse (2333033112031), we get a palindrome (15354166145351).

The spelling of 13021133033320 in words is "thirteen trillion, twenty-one billion, one hundred thirty-three million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 281 340 391 460 562 680 782 920 1124 1405 1564 1955 2248 2810 3128 3910 4777 5620 6463 7820 9554 11240 12926 15640 19108 23885 25852 32315 38216 47770 51704 64630 95540 109871 129260 191080 219742 258520 439484 549355 878968 1098710 2197420 2962823 4394840 5925646 11851292 14814115 23702584 29628230 50367991 59256460 68144929 100735982 118512920 136289858 201471964 251839955 272579716 340724645 402943928 503679910 545159432 681449290 832553263 1007359820 1158463793 1362898580 1665106526 2014719640 2316927586 2725797160 3330213052 4162766315 4633855172 5792318965 6660426104 8325532630 9267710344 11584637930 14153405471 16651065260 19148725049 23169275860 28306810942 33302130520 38297450098 46338551720 56613621884 70767027355 76594900196 95743625245 113227243768 141534054710 153189800392 191487250490 283068109420 325528325833 382974500980 566136218840 651056651666 765949001960 1302113303332 1627641629165 2604226606664 3255283258330 6510566516660 13021133033320