Search a number
-
+
132010111112131 = 7191973503070059
BaseRepresentation
bin11110000000111111111111…
…110001111001001111000011
3122022102001011121200212001101
4132000333333301321033003
5114300323201421042011
61144432335143115231
736543262421224540
oct3600777761711703
9568361147625041
10132010111112131
11390761a025422a
121298053b142b17
13588766683b335
142485475855bc7
15103dd450812c1
hex780fffc793c3

132010111112131 has 16 divisors (see below), whose sum is σ = 158889647750400. Its totient is φ = 107141848672608.

The previous prime is 132010111112123. The next prime is 132010111112141. The reversal of 132010111112131 is 131211111010231.

It is a cyclic number.

It is not a de Polignac number, because 132010111112131 - 23 = 132010111112123 is a prime.

It is a super-2 number, since 2×1320101111121312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 132010111112099 and 132010111112108.

It is not an unprimeable number, because it can be changed into a prime (132010111112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251272621 + ... + 251797438.

It is an arithmetic number, because the mean of its divisors is an integer number (9930602984400).

Almost surely, 2132010111112131 is an apocalyptic number.

132010111112131 is a deficient number, since it is larger than the sum of its proper divisors (26879536638269).

132010111112131 is a wasteful number, since it uses less digits than its factorization.

132010111112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503072058.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 132010111112131 its reverse (131211111010231), we get a palindrome (263221222122362).

The spelling of 132010111112131 in words is "one hundred thirty-two trillion, ten billion, one hundred eleven million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 7 19 133 1973 13811 37487 262409 503070059 3521490413 9558331121 66908317847 992557226407 6947900584849 18858587301733 132010111112131