Search a number
-
+
1312320011022 = 2321737823140837
BaseRepresentation
bin10011000110001100010…
…111100011101100001110
311122110022211121212011200
4103012030113203230032
5133000112410323042
62442512124130330
7163545341021016
oct23061427435416
94573284555150
101312320011022
11466608485889
121924053969a6
139699c6451a7
14477338a8c46
152420a808c4c
hex1318c5e3b0e

1312320011022 has 96 divisors (see below), whose sum is σ = 3095763458112. Its totient is φ = 400091415552.

The previous prime is 1312320010993. The next prime is 1312320011029. The reversal of 1312320011022 is 2201100232131.

1312320011022 is a `hidden beast` number, since 1 + 312 + 320 + 0 + 1 + 10 + 22 = 666.

It is a super-2 number, since 2×13123200110222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1312320010986 and 1312320011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312320011029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9247588 + ... + 9388424.

It is an arithmetic number, because the mean of its divisors is an integer number (32247536022).

Almost surely, 21312320011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312320011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547881729056).

1312320011022 is an abundant number, since it is smaller than the sum of its proper divisors (1783443447090).

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

1312320011022 is a wasteful number, since it uses less digits than its factorization.

1312320011022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141722 (or 141719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1312320011022 its reverse (2201100232131), we get a palindrome (3513420243153).

The spelling of 1312320011022 in words is "one trillion, three hundred twelve billion, three hundred twenty million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 823 1258 1646 1887 2469 3774 4938 5661 7407 11322 13991 14814 27982 30451 41973 60902 83946 91353 125919 140837 182706 251838 274059 281674 422511 517667 548118 845022 1035334 1267533 1553001 2394229 2535066 3106002 4659003 4788458 5210969 7182687 9318006 10421938 14365374 15632907 21548061 31265814 43096122 46898721 88586473 93797442 115908851 177172946 231817702 265759419 347726553 531518838 695453106 797278257 1043179659 1594556514 1970450467 2086359318 3940900934 4288627487 5911351401 8577254974 11822702802 12865882461 17734054203 25731764922 35468108406 38597647383 72906667279 77195294766 145813334558 218720001837 437440003674 656160005511 1312320011022