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13001211031320 = 23325231570194569
BaseRepresentation
bin1011110100110001010010…
…0100001010111100011000
31201000220101202021021221100
42331030110210022330120
53201002440011000240
643352401321111400
72511210062243061
oct275142444127430
951026352237840
1013001211031320
114162867760526
12155b87b328560
137340168429b5
1432d394bc7568
151782d0b50e30
hexbd31490af18

13001211031320 has 96 divisors (see below), whose sum is σ = 44091063525600. Its totient is φ = 3316250927616.

The previous prime is 13001211031271. The next prime is 13001211031339. The reversal of 13001211031320 is 2313011210031.

13001211031320 is a `hidden beast` number, since 1 + 300 + 1 + 2 + 1 + 10 + 31 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13001211031293 and 13001211031302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785089005 + ... + 785105564.

It is an arithmetic number, because the mean of its divisors is an integer number (459281911725).

Almost surely, 213001211031320 is an apocalyptic number.

13001211031320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001211031320 is an abundant number, since it is smaller than the sum of its proper divisors (31089852494280).

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

13001211031320 is a wasteful number, since it uses less digits than its factorization.

13001211031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570194609 (or 1570194602 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13001211031320 its reverse (2313011210031), we get a palindrome (15314222241351).

The spelling of 13001211031320 in words is "thirteen trillion, one billion, two hundred eleven million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 1570194569 3140389138 4710583707 6280778276 7850972845 9421167414 12561556552 14131751121 15701945690 18842334828 23552918535 28263502242 31403891380 36114475087 37684669656 47105837070 56527004484 62807782760 70658755605 72228950174 94211674140 108343425261 113054008968 141317511210 144457900348 180572375435 188423348280 216686850522 282635022420 288915800696 325030275783 361144750870 433373701044 541717126305 565270044840 650060551566 722289501740 866747402088 1083434252610 1300121103132 1444579003480 1625151378915 2166868505220 2600242206264 3250302757830 4333737010440 6500605515660 13001211031320