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13003201111020 = 22357130411003747
BaseRepresentation
bin1011110100111000101100…
…1011101110001111101100
31201001002112102221211001220
42331032023023232033230
53201021023441023040
643353331011303340
72511310305526521
oct275161313561754
951032472854056
1013003201111020
11416369904189a
1215601358aab50
13734272c25853
1432d50321d148
1517839a7042d0
hexbd38b2ee3ec

13003201111020 has 96 divisors (see below), whose sum is σ = 36933943527936. Its totient is φ = 3417554380800.

The previous prime is 13003201111013. The next prime is 13003201111073. The reversal of 13003201111020 is 2011110230031.

It is a happy number.

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

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, 12452787 + ... + 13456533.

It is an arithmetic number, because the mean of its divisors is an integer number (384728578416).

Almost surely, 213003201111020 is an apocalyptic number.

13003201111020 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 13003201111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18466971763968).

13003201111020 is an abundant number, since it is smaller than the sum of its proper divisors (23930742416916).

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

13003201111020 is a wasteful number, since it uses less digits than its factorization.

13003201111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006871 (or 1006869 counting only the distinct ones).

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

Adding to 13003201111020 its reverse (2011110230031), we get a palindrome (15014311341051).

The spelling of 13003201111020 in words is "thirteen trillion, three billion, two hundred one million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 3041 4260 6082 9123 12164 15205 18246 30410 36492 45615 60820 91230 182460 215911 431822 647733 863644 1003747 1079555 1295466 2007494 2159110 2590932 3011241 3238665 4014988 4318220 5018735 6022482 6477330 10037470 12044964 12954660 15056205 20074940 30112410 60224820 71266037 142532074 213798111 285064148 356330185 427596222 712660370 855192444 1068990555 1425320740 2137981110 3052394627 4275962220 6104789254 9157183881 12209578508 15261973135 18314367762 30523946270 36628735524 45785919405 61047892540 91571838810 183143677620 216720018517 433440037034 650160055551 866880074068 1083600092585 1300320111102 2167200185170 2600640222204 3250800277755 4334400370340 6501600555510 13003201111020