Search a number
-
+
1012132111 = 17191311713
BaseRepresentation
bin111100010100111…
…110100100001111
32121112111122020111
4330110332210033
54033101211421
6244233300451
734036660324
oct7424764417
92545448214
101012132111
1147a35a921
12242b64727
131318c7353
14985c8b4b
155dccaee1
hex3c53e90f

1012132111 has 8 divisors (see below), whose sum is σ = 1077283584. Its totient is φ = 947604480.

The previous prime is 1012132081. The next prime is 1012132123. The reversal of 1012132111 is 1112312101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-1012132111 is a prime.

It is a super-2 number, since 2×10121321112 = 2048822820234632642, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012132091 and 1012132100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012132141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152610 + ... + 159103.

It is an arithmetic number, because the mean of its divisors is an integer number (134660448).

Almost surely, 21012132111 is an apocalyptic number.

1012132111 is a deficient number, since it is larger than the sum of its proper divisors (65151473).

1012132111 is a wasteful number, since it uses less digits than its factorization.

1012132111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311921.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1012132111 is about 31814.0238102633. The cubic root of 1012132111 is about 1004.0277921096.

Adding to 1012132111 its reverse (1112312101), we get a palindrome (2124444212).

The spelling of 1012132111 in words is "one billion, twelve million, one hundred thirty-two thousand, one hundred eleven".

Divisors: 1 17 191 3247 311713 5299121 59537183 1012132111