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12010131131100 = 22352297113474847
BaseRepresentation
bin1010111011000101001110…
…0110011000101011011100
31120112011020200120212222020
42232301103212120223130
53033233222032143400
641313213355220140
72346463150135614
oct256612346305334
946464220525866
1012010131131100
113910516a13623
12141b788747650
1369172060060b
142d7417317a44
1515c6275822a0
hexaec53998adc

12010131131100 has 72 divisors (see below), whose sum is σ = 34761011486208. Its totient is φ = 3201623409600.

The previous prime is 12010131131087. The next prime is 12010131131107. The reversal of 12010131131100 is 113113101021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12010131131100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010131131107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5846124 + ... + 7628723.

Almost surely, 212010131131100 is an apocalyptic number.

12010131131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010131131100 is an abundant number, since it is smaller than the sum of its proper divisors (22750880355108).

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

12010131131100 is a wasteful number, since it uses less digits than its factorization.

12010131131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13477835 (or 13477828 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 12010131131100 its reverse (113113101021), we get a palindrome (12123244232121).

The spelling of 12010131131100 in words is "twelve trillion, ten billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2971 5942 8913 11884 14855 17826 29710 35652 44565 59420 74275 89130 148550 178260 222825 297100 445650 891300 13474847 26949694 40424541 53899388 67374235 80849082 134748470 161698164 202122705 269496940 336871175 404245410 673742350 808490820 1010613525 1347484700 2021227050 4042454100 40033770437 80067540874 120101311311 160135081748 200168852185 240202622622 400337704370 480405245244 600506556555 800675408740 1000844260925 1201013113110 2001688521850 2402026226220 3002532782775 4003377043700 6005065565550 12010131131100