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103412222214300 = 223252413133789431
BaseRepresentation
bin10111100000110110001000…
…110001010100000010011100
3111120011010000120101222210100
4113200312020301110002130
5102023301212341324200
61003534530302541100
730532200161332236
oct2740661061240234
9446133016358710
10103412222214300
112aa4a9715417aa
12b721b93b97790
1345919664b023c
141b7726d211256
15be4ec8923d00
hex5e0d88c5409c

103412222214300 has 216 divisors, whose sum is σ = 332060024735712. Its totient is φ = 26902833408000.

The previous prime is 103412222214281. The next prime is 103412222214331. The reversal of 103412222214300 is 3412222214301.

103412222214300 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 1 + 2 + 2 + 2 + 221 + 430 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1156290585 + ... + 1156380015.

It is an arithmetic number, because the mean of its divisors is an integer number (1537314929332).

Almost surely, 2103412222214300 is an apocalyptic number.

103412222214300 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 103412222214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166030012367856).

103412222214300 is an abundant number, since it is smaller than the sum of its proper divisors (228647802521412).

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

103412222214300 is a wasteful number, since it uses less digits than its factorization.

103412222214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120829 (or 120819 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103412222214300 its reverse (3412222214301), we get a palindrome (106824444428601).

Subtracting from 103412222214300 its reverse (3412222214301), we obtain a palindrome (99999999999999).

The spelling of 103412222214300 in words is "one hundred three trillion, four hundred twelve billion, two hundred twenty-two million, two hundred fourteen thousand, three hundred".