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12013130321100 = 223252192441287801
BaseRepresentation
bin1010111011010000011001…
…0111011000110011001100
31120112102222201002112012100
42232310012113120303030
53033310342330233400
641314431134235100
72346630365626026
oct256640627306314
946472881075170
1012013130321100
113911815980447
121420285055a90
13691aaaa9025c
142d761d78d016
1515c750a16100
hexaed065d8ccc

12013130321100 has 216 divisors, whose sum is σ = 39652680347280. Its totient is φ = 3033642240000.

The previous prime is 12013130321099. The next prime is 12013130321173. The reversal of 12013130321100 is 112303131021.

12013130321100 is a `hidden beast` number, since 1 + 20 + 1 + 313 + 0 + 321 + 10 + 0 = 666.

12013130321100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120131303211002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41597200 + ... + 41885000.

It is an arithmetic number, because the mean of its divisors is an integer number (183577223830).

Almost surely, 212013130321100 is an apocalyptic number.

12013130321100 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 12013130321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19826340173640).

12013130321100 is an abundant number, since it is smaller than the sum of its proper divisors (27639550026180).

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

12013130321100 is a wasteful number, since it uses less digits than its factorization.

12013130321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290281 (or 290271 counting only the distinct ones).

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

Adding to 12013130321100 its reverse (112303131021), we get a palindrome (12125433452121).

The spelling of 12013130321100 in words is "twelve trillion, thirteen billion, one hundred thirty million, three hundred twenty-one thousand, one hundred".