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13220103000 = 2335313615557
BaseRepresentation
bin11000100111111101…
…01100001101011000
31021010022221211000110
430103332230031120
5204033321244000
610023452404320
7645415010226
oct142376541530
937108854013
1013220103000
115674449065
12268b4766a0
131328b77270
148d5aa1b16
1552592c850
hex313fac358

13220103000 has 256 divisors, whose sum is σ = 45155859840. Its totient is φ = 3200256000.

The previous prime is 13220102981. The next prime is 13220103019. The reversal of 13220103000 is 30102231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13220102981) and next prime (13220103019).

It is a super-2 number, since 2×132201030002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2376222 + ... + 2381778.

Almost surely, 213220103000 is an apocalyptic number.

13220103000 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 13220103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22577929920).

13220103000 is an abundant number, since it is smaller than the sum of its proper divisors (31935756840).

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

13220103000 is a wasteful number, since it uses less digits than its factorization.

13220103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13220103000 its reverse (30102231), we get a palindrome (13250205231).

The spelling of 13220103000 in words is "thirteen billion, two hundred twenty million, one hundred three thousand".