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13332013020 = 223351723233271
BaseRepresentation
bin11000110101010011…
…00101111111011100
31021102010112102201000
430122221211333130
5204300443404040
610042531150300
7651244145424
oct143251457734
937363472630
1013332013020
115721634787
122700a45390
1313460cab01
149068b3484
15530686130
hex31aa65fdc

13332013020 has 384 divisors, whose sum is σ = 46193172480. Its totient is φ = 3175096320.

The previous prime is 13332012979. The next prime is 13332013063. The reversal of 13332013020 is 2031023331.

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 = 13332012984 and 13332013002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49195485 + ... + 49195755.

It is an arithmetic number, because the mean of its divisors is an integer number (120294720).

Almost surely, 213332013020 is an apocalyptic number.

13332013020 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 13332013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23096586240).

13332013020 is an abundant number, since it is smaller than the sum of its proper divisors (32861159460).

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

13332013020 is a wasteful number, since it uses less digits than its factorization.

13332013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13332013020 its reverse (2031023331), we get a palindrome (15363036351).

The spelling of 13332013020 in words is "thirteen billion, three hundred thirty-two million, thirteen thousand, twenty".