Search a number
-
+
13223022120000 = 263354711295483
BaseRepresentation
bin1100000001101011100110…
…0010010100110001000000
31201211002221010222002022000
43000122321202110301000
53213121222130320000
644042323354344000
72533221546343650
oct300327142246100
951732833862260
1013223022120000
114238941299450
12159686342b000
1374bc0580cab4
14339dd7912360
1517de63d3a000
hexc06b9894c40

13223022120000 has 2240 divisors, whose sum is σ = 62662061721600. Its totient is φ = 2652410880000.

The previous prime is 13223022119981. The next prime is 13223022120017. The reversal of 13223022120000 is 2122032231.

13223022120000 is a `hidden beast` number, since 1 + 322 + 302 + 21 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2411637259 + ... + 2411642741.

Almost surely, 213223022120000 is an apocalyptic number.

13223022120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31331030860800).

13223022120000 is an abundant number, since it is smaller than the sum of its proper divisors (49439039601600).

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

13223022120000 is a wasteful number, since it uses less digits than its factorization.

13223022120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13223022120000 its reverse (2122032231), we get a palindrome (13225144152231).

The spelling of 13223022120000 in words is "thirteen trillion, two hundred twenty-three billion, twenty-two million, one hundred twenty thousand".