| Base | Representation |
|---|---|
| bin | 11101110010010110001011… |
| … | …001001011011111110011000 |
| 3 | 122011211202222111211220120100 |
| 4 | 131302112023021123332120 |
| 5 | 114132323403243032300 |
| 6 | 1142342001422055400 |
| 7 | 36410443510063323 |
| oct | 3562261311337630 |
| 9 | 564752874756510 |
| 10 | 131003132002200 |
| 11 | 38818130852797 |
| 12 | 1283934ba1a560 |
| 13 | 58137086a2163 |
| 14 | 244c82a56d7ba |
| 15 | 1022a5ac7a700 |
| hex | 77258b25bf98 |
131003132002200 has 288 divisors, whose sum is σ = 444603515428800. Its totient is φ = 34565019770880.
The previous prime is 131003132002199. The next prime is 131003132002201. The reversal of 131003132002200 is 2200231300131.
131003132002200 is a `hidden beast` number, since 1 + 310 + 0 + 3 + 132 + 0 + 0 + 220 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (131003132002199) and next prime (131003132002201).
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 (131003132002201) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 684161674 + ... + 684353126.
It is an arithmetic number, because the mean of its divisors is an integer number (1543762206350).
Almost surely, 2131003132002200 is an apocalyptic number.
131003132002200 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 131003132002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222301757714400).
131003132002200 is an abundant number, since it is smaller than the sum of its proper divisors (313600383426600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131003132002200 is a wasteful number, since it uses less digits than its factorization.
131003132002200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 195491 (or 195479 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 131003132002200 its reverse (2200231300131), we get a palindrome (133203363302331).
The spelling of 131003132002200 in words is "one hundred thirty-one trillion, three billion, one hundred thirty-two million, two thousand, two hundred".
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