Search a number
-
+
200101130211321 = 32171321990045817
BaseRepresentation
bin101101011111110110101100…
…110010010000111111111001
3222020111110222210222002021200
4231133312230302100333321
5202211424103313230241
61545325105024524413
760101554355034663
oct5537665462207771
9866443883862250
10200101130211321
115883845a418999
121a538b33780709
1387865bcc99501
14375ad36c09533
15182015262b4b6
hexb5fdacc90ff9

200101130211321 has 24 divisors (see below), whose sum is σ = 306268693706664. Its totient is φ = 125458605803520.

The previous prime is 200101130211319. The next prime is 200101130211371. The reversal of 200101130211321 is 123112031101002.

200101130211321 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 1 + 130 + 211 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58944988974096 + 141156141237225 = 7677564^2 + 11880915^2 .

It is not a de Polignac number, because 200101130211321 - 21 = 200101130211319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200101130211294 and 200101130211303.

It is not an unprimeable number, because it can be changed into a prime (200101130211371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494820796 + ... + 495225021.

It is an arithmetic number, because the mean of its divisors is an integer number (12761195571111).

Almost surely, 2200101130211321 is an apocalyptic number.

It is an amenable number.

200101130211321 is a deficient number, since it is larger than the sum of its proper divisors (106167563495343).

200101130211321 is a wasteful number, since it uses less digits than its factorization.

200101130211321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990047161 (or 990047158 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 200101130211321 its reverse (123112031101002), we get a palindrome (323213161312323).

The spelling of 200101130211321 in words is "two hundred trillion, one hundred one billion, one hundred thirty million, two hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 153 1321 3963 11889 22457 67371 202113 990045817 2970137451 8910412353 16830778889 50492336667 151477010001 1307850524257 3923551572771 11770654718313 22233458912369 66700376737107 200101130211321