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100202000221 = 2771408725679
BaseRepresentation
bin101110101010010000…
…0010010111101011101
3100120122020202000110101
41131110200102331131
53120203203001341
6114010540341101
710145045643301
oct1352440227535
9316566660411
10100202000221
113954a464934
1217505544791
1395ab6172bb
144bc7c03d01
152916d3b831
hex1754812f5d

100202000221 has 8 divisors (see below), whose sum is σ = 100574795520. Its totient is φ = 99829285008.

The previous prime is 100202000113. The next prime is 100202000263. The reversal of 100202000221 is 122000202001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100202000221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100202000198 and 100202000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202030221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3889260 + ... + 3914938.

It is an arithmetic number, because the mean of its divisors is an integer number (12571849440).

Almost surely, 2100202000221 is an apocalyptic number.

It is an amenable number.

100202000221 is a deficient number, since it is larger than the sum of its proper divisors (372795299).

100202000221 is a wasteful number, since it uses less digits than its factorization.

100202000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40043.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100202000221 its reverse (122000202001), we get a palindrome (222202202222).

The spelling of 100202000221 in words is "one hundred billion, two hundred two million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 277 14087 25679 3902099 7113083 361740073 100202000221