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103212221112 = 233471113159119
BaseRepresentation
bin110000000011111101…
…1011000001010111000
3100212102001000002020000
41200013323120022320
53142334312033422
6115225352033000
710312460255430
oct1400773301270
9325361002200
10103212221112
113a8546763a0
1218005692760
13996b169ab0
144dd190b2c0
152a4124dcac
hex1807ed82b8

103212221112 has 320 divisors, whose sum is σ = 388150963200. Its totient is φ = 24746031360.

The previous prime is 103212221107. The next prime is 103212221117. The reversal of 103212221112 is 211122212301.

103212221112 is a `hidden beast` number, since 10 + 321 + 2 + 221 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (103212221107) and next prime (103212221117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212221117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 569089 + ... + 728207.

It is an arithmetic number, because the mean of its divisors is an integer number (1212971760).

Almost surely, 2103212221112 is an apocalyptic number.

103212221112 is a gapful number since it is divisible by the number (12) 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 103212221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194075481600).

103212221112 is an abundant number, since it is smaller than the sum of its proper divisors (284938742088).

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

103212221112 is a wasteful number, since it uses less digits than its factorization.

103212221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159168 (or 159155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103212221112 its reverse (211122212301), we get a palindrome (314334433413).

The spelling of 103212221112 in words is "one hundred three billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twelve".