Search a number
-
+
13330101131 = 479712492341
BaseRepresentation
bin11000110101000100…
…10011001110001011
31021101222221022002022
430122202103032023
5204300001214011
610042422155055
7651221663414
oct143242231613
937358838068
1013330101131
115720549306
122700282a8b
1313458ab809
1490653680b
155304098db
hex31a89338b

13330101131 has 16 divisors (see below), whose sum is σ = 13770960000. Its totient is φ = 12896133120.

The previous prime is 13330101121. The next prime is 13330101199. The reversal of 13330101131 is 13110103331.

13330101131 = T16530 + T16531 + ... + T16626.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13330101131 is a prime.

It is a super-2 number, since 2×133301011312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13330101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5693021 + ... + 5695361.

It is an arithmetic number, because the mean of its divisors is an integer number (860685000).

Almost surely, 213330101131 is an apocalyptic number.

13330101131 is a deficient number, since it is larger than the sum of its proper divisors (440858869).

13330101131 is a wasteful number, since it uses less digits than its factorization.

13330101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13330101131 its reverse (13110103331), we get a palindrome (26440204462).

The spelling of 13330101131 in words is "thirteen billion, three hundred thirty million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 47 97 1249 2341 4559 58703 110027 121153 227077 2923909 5694191 10672619 137423723 283619173 13330101131