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101220133 = 722065717
BaseRepresentation
bin1100000100001…
…11111100100101
321001110111220211
412002013330211
5201403021013
614013255421
72336233300
oct602077445
9231414824
10101220133
1152155203
1229a94571
1317c7cc91
14d62bb37
158d4623d
hex6087f25

101220133 has 6 divisors (see below), whose sum is σ = 117745926. Its totient is φ = 86760072.

The previous prime is 101220113. The next prime is 101220137. The reversal of 101220133 is 331022101.

It can be written as a sum of positive squares in only one way, i.e., 100340289 + 879844 = 10017^2 + 938^2 .

It is not a de Polignac number, because 101220133 - 213 = 101211941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220137) 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 5 ways as a sum of consecutive naturals, for example, 1032810 + ... + 1032907.

It is an arithmetic number, because the mean of its divisors is an integer number (19624321).

Almost surely, 2101220133 is an apocalyptic number.

It is an amenable number.

101220133 is a deficient number, since it is larger than the sum of its proper divisors (16525793).

101220133 is an equidigital number, since it uses as much as digits as its factorization.

101220133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065731 (or 2065724 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101220133 is about 10060.8216861248. The cubic root of 101220133 is about 466.0390423919.

Adding to 101220133 its reverse (331022101), we get a palindrome (432242234).

The spelling of 101220133 in words is "one hundred one million, two hundred twenty thousand, one hundred thirty-three".

Divisors: 1 7 49 2065717 14460019 101220133