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1011131022 = 231147714591
BaseRepresentation
bin111100010001001…
…010001010001110
32121110121210000010
4330101022022032
54032322143042
6244200014050
734025320566
oct7421121216
92543553003
101011131022
11479836780
12242761326
131316367a5
1498407da6
155db7e59c
hex3c44a28e

1011131022 has 64 divisors (see below), whose sum is σ = 2285273088. Its totient is φ = 295596000.

The previous prime is 1011130997. The next prime is 1011131029. The reversal of 1011131022 is 2201311101.

It is a junction number, because it is equal to n+sod(n) for n = 1011130989 and 1011131007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011131029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217947 + ... + 222537.

It is an arithmetic number, because the mean of its divisors is an integer number (35707392).

Almost surely, 21011131022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011131022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142636544).

1011131022 is an abundant number, since it is smaller than the sum of its proper divisors (1274142066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011131022 is a wasteful number, since it uses less digits than its factorization.

1011131022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725.

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

The square root of 1011131022 is about 31798.2864632672. The cubic root of 1011131022 is about 1003.6966585436.

Adding to 1011131022 its reverse (2201311101), we get a palindrome (3212442123).

The spelling of 1011131022 in words is "one billion, eleven million, one hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 47 66 71 94 141 142 213 282 426 517 781 1034 1551 1562 2343 3102 3337 4591 4686 6674 9182 10011 13773 20022 27546 36707 50501 73414 101002 110121 151503 215777 220242 303006 325961 431554 647331 651922 977883 1294662 1955766 2373547 3585571 4747094 7120641 7171142 10756713 14241282 15320167 21513426 30640334 45960501 91921002 168521837 337043674 505565511 1011131022