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12203023131000 = 23325313601173543
BaseRepresentation
bin1011000110010011110011…
…0110111110000101111000
31121012121010122220202101200
42301210330312332011320
53044413242410143000
641541554052214200
72366432201111352
oct261447466760570
947177118822350
1012203023131000
113985300475079
12145103b90a360
136a6981131870
143028b53a80d2
151626669a7500
hexb193cdbe178

12203023131000 has 384 divisors, whose sum is σ = 44493169069440. Its totient is φ = 2998805760000.

The previous prime is 12203023130983. The next prime is 12203023131007. The reversal of 12203023131000 is 13132030221.

12203023131000 is a `hidden beast` number, since 1 + 2 + 20 + 302 + 31 + 310 + 0 + 0 = 666.

It is a super-3 number, since 3×122030231310003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203023131007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70230229 + ... + 70403771.

It is an arithmetic number, because the mean of its divisors is an integer number (115867627785).

Almost surely, 212203023131000 is an apocalyptic number.

12203023131000 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 12203023131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22246584534720).

12203023131000 is an abundant number, since it is smaller than the sum of its proper divisors (32290145938440).

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

12203023131000 is a wasteful number, since it uses less digits than its factorization.

12203023131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174184 (or 174167 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12203023131000 its reverse (13132030221), we get a palindrome (12216155161221).

The spelling of 12203023131000 in words is "twelve trillion, two hundred three billion, twenty-three million, one hundred thirty-one thousand".