Search a number
-
+
3121101032201 = 192571187538481
BaseRepresentation
bin101101011010110000000…
…111100100101100001001
3102001101002220020010011222
4231122300013210230021
5402114003331012301
610345451454531425
7441330536021645
oct55326007445411
912041086203158
103121101032201
11aa3719190669
12424a82506b75
1319841ab699c9
14ab0c2569c25
15562c11d631b
hex2d6b01e4b09

3121101032201 has 16 divisors (see below), whose sum is σ = 3300937738560. Its totient is φ = 2942840586240.

The previous prime is 3121101032143. The next prime is 3121101032243. The reversal of 3121101032201 is 1022301011213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3121101032201 is a prime.

It is a super-2 number, since 2×31211010322012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3121101032201.

It is not an unprimeable number, because it can be changed into a prime (3121101038201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5526881 + ... + 6065361.

It is an arithmetic number, because the mean of its divisors is an integer number (206308608660).

Almost surely, 23121101032201 is an apocalyptic number.

It is an amenable number.

3121101032201 is a deficient number, since it is larger than the sum of its proper divisors (179836706359).

3121101032201 is a wasteful number, since it uses less digits than its factorization.

3121101032201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539944.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 3121101032201 its reverse (1022301011213), we get a palindrome (4143402043414).

The spelling of 3121101032201 in words is "three trillion, one hundred twenty-one billion, one hundred one million, thirty-two thousand, two hundred one".

Divisors: 1 19 257 1187 4883 22553 305059 538481 5796121 10231139 138389617 639176947 2629402723 12144361993 164268475379 3121101032201