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210103202341032 = 2337112133780926561
BaseRepresentation
bin101111110001011001110110…
…101111011110000010101000
31000112220200002102021102200220
4233301121312233132002220
5210014312324244403112
62022504024554530040
762153312134260630
oct5761316657360250
91015820072242626
10210103202341032
1160a442a4384700
121b6934a9436920
139030854505090
1439c509920b6c0
1519453ee42d98c
hexbf1676bde0a8

210103202341032 has 768 divisors, whose sum is σ = 730718835033600. Its totient is φ = 48950496460800.

The previous prime is 210103202341013. The next prime is 210103202341117. The reversal of 210103202341032 is 230143202301012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 210103202340993 and 210103202341011.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7910201032 + ... + 7910227592.

It is an arithmetic number, because the mean of its divisors is an integer number (951456816450).

Almost surely, 2210103202341032 is an apocalyptic number.

210103202341032 is a gapful number since it is divisible by the number (22) 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 210103202341032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365359417516800).

210103202341032 is an abundant number, since it is smaller than the sum of its proper divisors (520615632692568).

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

210103202341032 is a wasteful number, since it uses less digits than its factorization.

210103202341032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27458 (or 27443 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 210103202341032 its reverse (230143202301012), we get a palindrome (440246404642044).

The spelling of 210103202341032 in words is "two hundred ten trillion, one hundred three billion, two hundred two million, three hundred forty-one thousand, thirty-two".