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1320011022 = 231129771861
BaseRepresentation
bin100111010101101…
…1100010100001110
310101222211111201010
41032223130110032
510200410323042
6334552230050
744465623431
oct11653342416
93358744633
101320011022
11618125900
1230a09b326
13180623415
14c744d818
157ad4459c
hex4eadc50e

1320011022 has 48 divisors (see below), whose sum is σ = 2906373456. Its totient is φ = 399379200.

The previous prime is 1320011003. The next prime is 1320011083. The reversal of 1320011022 is 2201100231.

1320011022 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1320010989 and 1320011007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708372 + ... + 710232.

It is an arithmetic number, because the mean of its divisors is an integer number (60549447).

Almost surely, 21320011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453186728).

1320011022 is an abundant number, since it is smaller than the sum of its proper divisors (1586362434).

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

1320011022 is a wasteful number, since it uses less digits than its factorization.

1320011022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1320011022 is about 36331.9559341360. The cubic root of 1320011022 is about 1096.9643636870.

Adding to 1320011022 its reverse (2201100231), we get a palindrome (3521111253).

The spelling of 1320011022 in words is "one billion, three hundred twenty million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 977 1861 1954 2931 3722 5583 5862 10747 11166 20471 21494 32241 40942 61413 64482 118217 122826 225181 236434 354651 450362 675543 709302 1351086 1818197 3636394 5454591 10909182 20000167 40000334 60000501 120001002 220001837 440003674 660005511 1320011022