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10100300221 = 117312799041
BaseRepresentation
bin10010110100000011…
…00101100110111101
3222001220111102011101
421122001211212331
5131141134101341
64350124253101
7505203064264
oct113201454675
928056442141
1010100300221
1143133a1060
121b5a6a1191
13c4c70780b
146bb5d15db
153e1ac1831
hex25a0659bd

10100300221 has 16 divisors (see below), whose sum is σ = 11257509888. Its totient is φ = 8984908800.

The previous prime is 10100300213. The next prime is 10100300233. The reversal of 10100300221 is 12200300101.

10100300221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10100300221 - 23 = 10100300213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100300198 and 10100300207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100300251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52461 + ... + 151501.

It is an arithmetic number, because the mean of its divisors is an integer number (703594368).

Almost surely, 210100300221 is an apocalyptic number.

10100300221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100300221 is a deficient number, since it is larger than the sum of its proper divisors (1157209667).

10100300221 is a wasteful number, since it uses less digits than its factorization.

10100300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99252.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10100300221 its reverse (12200300101), we get a palindrome (22300600322).

The spelling of 10100300221 in words is "ten billion, one hundred million, three hundred thousand, two hundred twenty-one".

Divisors: 1 11 73 127 803 1397 9271 99041 101981 1089451 7229993 12578207 79529923 138360277 918209111 10100300221