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101022601 = 192234
BaseRepresentation
bin1100000010101…
…11101110001001
321001002110221211
412001113232021
5201330210401
614005133121
72334451351
oct601275611
9231073854
10101022601
115202a859
12299ba1a1
1317c110b4
14d5b9b61
158d07951
hex6057b89

101022601 has 15 divisors (see below), whose sum is σ = 111465741. Its totient is φ = 91544508.

The previous prime is 101022589. The next prime is 101022637. The reversal of 101022601 is 106220101.

The square root of 101022601 is 10051.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2k-101022601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4392276 + ... + 4392298.

Almost surely, 2101022601 is an apocalyptic number.

101022601 is the 10051-st square number.

101022601 is the 5026-th centered octagonal number.

It is an amenable number.

101022601 is a deficient number, since it is larger than the sum of its proper divisors (10443140).

101022601 is an frugal number, since it uses more digits than its factorization.

101022601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The cubic root of 101022601 is about 465.7356851771.

Adding to 101022601 its reverse (106220101), we get a palindrome (207242702).

The spelling of 101022601 in words is "one hundred one million, twenty-two thousand, six hundred one".

Divisors: 1 19 23 361 437 529 8303 10051 12167 190969 231173 279841 4392287 5316979 101022601