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100201330300 = 22521758941959
BaseRepresentation
bin101110101010001110…
…1101111011001111100
3100120122012110222111111
41131110131233121330
53120203020032200
6114010514131404
710145040153211
oct1352435573174
9316565428444
10100201330300
113954a047585
1217505280b64
1395ab4413b6
144bc7aabb08
152916c580ba
hex175476f67c

100201330300 has 36 divisors (see below), whose sum is σ = 230227295760. Its totient is φ = 37722853120.

The previous prime is 100201330297. The next prime is 100201330303. The reversal of 100201330300 is 3033102001.

It is an interprime number because it is at equal distance from previous prime (100201330297) and next prime (100201330303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201330303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29469280 + ... + 29472679.

It is an arithmetic number, because the mean of its divisors is an integer number (6395202660).

Almost surely, 2100201330300 is an apocalyptic number.

100201330300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201330300 is an abundant number, since it is smaller than the sum of its proper divisors (130025965460).

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

100201330300 is a wasteful number, since it uses less digits than its factorization.

100201330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58941990 (or 58941983 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 100201330300 its reverse (3033102001), we get a palindrome (103234432301).

The spelling of 100201330300 in words is "one hundred billion, two hundred one million, three hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 58941959 117883918 235767836 294709795 589419590 1002013303 1178839180 1473548975 2004026606 2947097950 4008053212 5010066515 5894195900 10020133030 20040266060 25050332575 50100665150 100201330300