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13322220120 = 23335111959021
BaseRepresentation
bin11000110100001000…
…01111001001011000
31021101110002220101000
430122010033021120
5204240442020440
610041541225000
7651065000616
oct143204171130
937343086330
1013322220120
115717056180
1226b9702160
13134407c5b1
149054846b6
1552e89e730
hex31a10f258

13322220120 has 256 divisors, whose sum is σ = 50995008000. Its totient is φ = 3059596800.

The previous prime is 13322220007. The next prime is 13322220137. The reversal of 13322220120 is 2102222331.

13322220120 is a `hidden beast` number, since 1 + 3 + 322 + 220 + 120 = 666.

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 = 13322220093 and 13322220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196210 + ... + 255230.

It is an arithmetic number, because the mean of its divisors is an integer number (199199250).

Almost surely, 213322220120 is an apocalyptic number.

13322220120 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 13322220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25497504000).

13322220120 is an abundant number, since it is smaller than the sum of its proper divisors (37672787880).

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

13322220120 is a wasteful number, since it uses less digits than its factorization.

13322220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59071 (or 59061 counting only the distinct ones).

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

Adding to 13322220120 its reverse (2102222331), we get a palindrome (15424442451).

The spelling of 13322220120 in words is "thirteen billion, three hundred twenty-two million, two hundred twenty thousand, one hundred twenty".