Search a number
-
+
13332330200000 = 2655747533823
BaseRepresentation
bin1100001000000010110011…
…0011100011101111000000
31202012120002000101212212102
43002000230303203233000
53221414103012400000
644204442110045532
72544141366604640
oct302005463435700
952176060355772
1013332330200000
114280233908849
1215b3a8a4a98a8
13759305869286
14341406c62520
15181c103093d5
hexc202cce3bc0

13332330200000 has 672 divisors, whose sum is σ = 39334970400768. Its totient is φ = 4388267520000.

The previous prime is 13332330199957. The next prime is 13332330200003. The reversal of 13332330200000 is 203323331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332330200003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3487398089 + ... + 3487401911.

It is an arithmetic number, because the mean of its divisors is an integer number (58534182144).

Almost surely, 213332330200000 is an apocalyptic number.

13332330200000 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 13332330200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19667485200384).

13332330200000 is an abundant number, since it is smaller than the sum of its proper divisors (26002640200768).

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

13332330200000 is an frugal number, since it uses more digits than its factorization.

13332330200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 13332330200000 its reverse (203323331), we get a palindrome (13332533523331).

The spelling of 13332330200000 in words is "thirteen trillion, three hundred thirty-two billion, three hundred thirty million, two hundred thousand".