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100050101 is a prime number
BaseRepresentation
bin1011111011010…
…10010010110101
320222021001221022
411331222102311
5201103100401
613532230525
72323261154
oct575522265
9228231838
10100050101
1151526138
122960b445
1317960558
14d40559b
158bb471b
hex5f6a4b5

100050101 has 2 divisors, whose sum is σ = 100050102. Its totient is φ = 100050100.

The previous prime is 100050091. The next prime is 100050131. The reversal of 100050101 is 101050001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61622500 + 38427601 = 7850^2 + 6199^2 .

It is a cyclic number.

It is not a de Polignac number, because 100050101 - 222 = 95855797 is a prime.

It is a super-2 number, since 2×1000501012 = 20020045420220402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100050131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50025050 + 50025051.

It is an arithmetic number, because the mean of its divisors is an integer number (50025051).

Almost surely, 2100050101 is an apocalyptic number.

It is an amenable number.

100050101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100050101 is an equidigital number, since it uses as much as digits as its factorization.

100050101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 100050101 is about 10002.5047363148. The cubic root of 100050101 is about 464.2363865002.

The spelling of 100050101 in words is "one hundred million, fifty thousand, one hundred one".