Search a number
-
+
1313426022036 = 2232931199611803
BaseRepresentation
bin10011000111001110010…
…010101001111010010100
311122120011220210001001120
4103013032102221322110
5133004344030201121
62443213553523540
7163614630660642
oct23071622517224
94576156701046
101313426022036
11467025826277
121926738735b0
1396b1781bb8b
14477da730192
152427297abc6
hex131ce4a9e94

1313426022036 has 96 divisors (see below), whose sum is σ = 3289058304000. Its totient is φ = 407019634560.

The previous prime is 1313426022031. The next prime is 1313426022061. The reversal of 1313426022036 is 6302206243131.

It is a happy number.

It is a super-2 number, since 2×13134260220362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313426021988 and 1313426022006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313426022031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1840911 + ... + 2452713.

It is an arithmetic number, because the mean of its divisors is an integer number (34261024000).

Almost surely, 21313426022036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313426022036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644529152000).

1313426022036 is an abundant number, since it is smaller than the sum of its proper divisors (1975632281964).

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

1313426022036 is a wasteful number, since it uses less digits than its factorization.

1313426022036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612069 (or 612067 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 1313426022036 in words is "one trillion, three hundred thirteen billion, four hundred twenty-six million, twenty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 199 348 372 398 597 796 899 1194 1798 2388 2697 3596 5394 5771 6169 10788 11542 12338 17313 18507 23084 24676 34626 37014 69252 74028 178901 357802 536703 611803 715604 1073406 1223606 1835409 2146812 2447212 3670818 7341636 17742287 18965893 35484574 37931786 53226861 56897679 70969148 75863572 106453722 113795358 121748797 212907444 227590716 243497594 365246391 486995188 550010897 730492782 1100021794 1460985564 1650032691 2200043588 3300065382 3530715113 3774212707 6600130764 7061430226 7548425414 10592145339 11322638121 14122860452 15096850828 21184290678 22645276242 42368581356 45290552484 109452168503 218904337006 328356505509 437808674012 656713011018 1313426022036