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103212111321000 = 233253115934750923
BaseRepresentation
bin10111011101111011110001…
…001110110101011110101000
3111112102222111111110100021200
4113131323301032311132220
5102012011400444233000
61003302553412004200
730511554222653163
oct2735736116653650
9445388444410250
10103212111321000
112a983013119850
12b6ab247300660
134578b25205236
141b6b6c8504ada
15bdebb5897500
hex5ddef13b57a8

103212111321000 has 768 divisors, whose sum is σ = 388144520524800. Its totient is φ = 24525664704000.

The previous prime is 103212111320951. The next prime is 103212111321001. The reversal of 103212111321000 is 123111212301.

103212111321000 is a `hidden beast` number, since 1 + 0 + 321 + 21 + 1 + 1 + 321 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103212111321001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2026801539 + ... + 2026852461.

It is an arithmetic number, because the mean of its divisors is an integer number (505396511100).

Almost surely, 2103212111321000 is an apocalyptic number.

103212111321000 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 103212111321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194072260262400).

103212111321000 is an abundant number, since it is smaller than the sum of its proper divisors (284932409203800).

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

103212111321000 is a wasteful number, since it uses less digits than its factorization.

103212111321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51367 (or 51350 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103212111321000 its reverse (123111212301), we get a palindrome (103335222533301).

The spelling of 103212111321000 in words is "one hundred three trillion, two hundred twelve billion, one hundred eleven million, three hundred twenty-one thousand".