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13210032220 = 225711267103113
BaseRepresentation
bin11000100110110000…
…10001100001011100
31021002122000011111121
430103120101201130
5204023232012340
610022452500324
7645233264320
oct142330214134
937078004447
1013210032220
11566979a800
12268801a6a4
131326a5c418
148d45dd980
15524add94a
hex31361185c

13210032220 has 288 divisors, whose sum is σ = 36027823104. Its totient is φ = 3981035520.

The previous prime is 13210032191. The next prime is 13210032233. The reversal of 13210032220 is 2223001231.

It is a junction number, because it is equal to n+sod(n) for n = 13210032194 and 13210032203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116902884 + ... + 116902996.

It is an arithmetic number, because the mean of its divisors is an integer number (125096608).

Almost surely, 213210032220 is an apocalyptic number.

13210032220 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 13210032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18013911552).

13210032220 is an abundant number, since it is smaller than the sum of its proper divisors (22817790884).

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

13210032220 is a wasteful number, since it uses less digits than its factorization.

13210032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13210032220 its reverse (2223001231), we get a palindrome (15433033451).

The spelling of 13210032220 in words is "thirteen billion, two hundred ten million, thirty-two thousand, two hundred twenty".