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101122425 = 345249937
BaseRepresentation
bin1100000011100…
…00000101111001
321001021112220000
412001300011321
5201341404200
614011223213
72335345365
oct601600571
9231245800
10101122425
1152098858
1229a47b09
1317c47671
14d6042a5
158d27300
hex6070179

101122425 has 30 divisors (see below), whose sum is σ = 187317438. Its totient is φ = 53930880.

The previous prime is 101122397. The next prime is 101122459. The reversal of 101122425 is 524221101.

It can be written as a sum of positive squares in 3 ways, for example, as 962361 + 100160064 = 981^2 + 10008^2 .

It is not a de Polignac number, because 101122425 - 211 = 101120377 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101122398 and 101122407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22944 + ... + 26993.

Almost surely, 2101122425 is an apocalyptic number.

101122425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101122425 is a deficient number, since it is larger than the sum of its proper divisors (86195013).

101122425 is an equidigital number, since it uses as much as digits as its factorization.

101122425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49959 (or 49945 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 101122425 is about 10055.9646479092. The cubic root of 101122425 is about 465.8890379702.

Adding to 101122425 its reverse (524221101), we get a palindrome (625343526).

It can be divided in two parts, 1011 and 22425, that added together give a triangular number (23436 = T216).

The spelling of 101122425 in words is "one hundred one million, one hundred twenty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 49937 149811 249685 449433 749055 1248425 1348299 2247165 3745275 4044897 6741495 11235825 20224485 33707475 101122425