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13312120143270 = 23513294212795777
BaseRepresentation
bin1100000110110111100000…
…1100010011110110100110
31202010121220112121121221210
43001231320030103312212
53221101210224041040
644151300434252250
72542524514136514
oct301557014236646
952117815547853
1013312120143270
114272702858023
1215abb8a127086
137574347c5a20
1434044aadb4b4
1518142ade9480
hexc1b78313da6

13312120143270 has 128 divisors (see below), whose sum is σ = 35677705875840. Its totient is φ = 3156319272960.

The previous prime is 13312120143269. The next prime is 13312120143341. The reversal of 13312120143270 is 7234102121331.

13312120143270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3363622 + ... + 6159398.

It is an arithmetic number, because the mean of its divisors is an integer number (278732077155).

Almost surely, 213312120143270 is an apocalyptic number.

13312120143270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312120143270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17838852937920).

13312120143270 is an abundant number, since it is smaller than the sum of its proper divisors (22365585732570).

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

13312120143270 is a wasteful number, since it uses less digits than its factorization.

13312120143270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796250.

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 13312120143270 in words is "thirteen trillion, three hundred twelve billion, one hundred twenty million, one hundred forty-three thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 421 435 754 842 870 1131 1263 1885 2105 2262 2526 3770 4210 5473 5655 6315 10946 11310 12209 12630 16419 24418 27365 32838 36627 54730 61045 73254 82095 122090 158717 164190 183135 317434 366270 476151 793585 952302 1587170 2380755 2795777 4761510 5591554 8387331 13978885 16774662 27957770 36345101 41936655 72690202 81077533 83873310 109035303 162155066 181725505 218070606 243232599 363451010 405387665 486465198 545176515 810775330 1054007929 1090353030 1177022117 1216162995 2108015858 2354044234 2432325990 3162023787 3531066351 5270039645 5885110585 6324047574 7062132702 10540079290 11770221170 15301287521 15810118935 17655331755 30602575042 31620237870 34133641393 35310663510 45903862563 68267282786 76506437605 91807725126 102400924179 153012875210 170668206965 204801848358 229519312815 341336413930 443737338109 459038625630 512004620895 887474676218 1024009241790 1331212014327 2218686690545 2662424028654 4437373381090 6656060071635 13312120143270