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13110312102000 = 2435318521117977
BaseRepresentation
bin1011111011000111101101…
…1111101110100001110000
31201102100000012011221002220
42332301323133232201300
53204244404344231000
643514443315441040
72522121520114251
oct276617337564160
951370005157086
1013110312102000
1141a506343a743
121578a48bb6180
137413b2a2c659
1433478484cb28
1517b068d7e1a0
hexbec7b7ee870

13110312102000 has 160 divisors (see below), whose sum is σ = 42270286653504. Its totient is φ = 3495864832000.

The previous prime is 13110312101987. The next prime is 13110312102047. The reversal of 13110312102000 is 20121301131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 111067012 + ... + 111184988.

Almost surely, 213110312102000 is an apocalyptic number.

13110312102000 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 13110312102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21135143326752).

13110312102000 is an abundant number, since it is smaller than the sum of its proper divisors (29159974551504).

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

13110312102000 is a wasteful number, since it uses less digits than its factorization.

13110312102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136524 (or 136508 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13110312102000 its reverse (20121301131), we get a palindrome (13130433403131).

The spelling of 13110312102000 in words is "thirteen trillion, one hundred ten billion, three hundred twelve million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 18521 37042 55563 74084 92605 111126 117977 148168 185210 222252 235954 277815 296336 353931 370420 444504 463025 471908 555630 589885 707862 740840 889008 926050 943816 1111260 1179770 1389075 1415724 1481680 1769655 1852100 1887632 2222520 2315125 2359540 2778150 2831448 2949425 3539310 3704200 4445040 4630250 4719080 5556300 5662896 5898850 6945375 7078620 7408400 8848275 9260500 9438160 11112600 11797700 13890750 14157240 14747125 17696550 18521000 22225200 23595400 27781500 28314480 29494250 35393100 37042000 44241375 47190800 55563000 58988500 70786200 88482750 111126000 117977000 141572400 176965500 235954000 353931000 707862000 2185052017 4370104034 6555156051 8740208068 10925260085 13110312102 17480416136 21850520170 26220624204 32775780255 34960832272 43701040340 52441248408 54626300425 65551560510 87402080680 104882496816 109252600850 131103121020 163878901275 174804161360 218505201700 262206242040 273131502125 327757802550 437010403400 524412484080 546263004250 655515605100 819394506375 874020806800 1092526008500 1311031210200 1638789012750 2185052017000 2622062420400 3277578025500 4370104034000 6555156051000 13110312102000