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142101225 = 32527212889
BaseRepresentation
bin10000111100001…
…00101011101001
3100220101111020100
420132010223221
5242334214400
622033420013
73343561200
oct1036045351
9326344210
10142101225
1173237832
123b70a609
1323594886
1414c30237
15c71e100
hex8784ae9

142101225 has 54 divisors (see below), whose sum is σ = 296096190. Its totient is φ = 64955520.

The previous prime is 142101221. The next prime is 142101233. The reversal of 142101225 is 522101241.

It can be written as a sum of positive squares in 3 ways, for example, as 14930496 + 127170729 = 3864^2 + 11277^2 .

It is not a de Polignac number, because 142101225 - 22 = 142101221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142101198 and 142101207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142101221) 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 53 ways as a sum of consecutive naturals, for example, 4581 + ... + 17469.

Almost surely, 2142101225 is an apocalyptic number.

142101225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142101225 is an abundant number, since it is smaller than the sum of its proper divisors (153994965).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142101225 is a wasteful number, since it uses less digits than its factorization.

142101225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12919 (or 12904 counting only the distinct ones).

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

The square root of 142101225 is about 11920.6218378070. The cubic root of 142101225 is about 521.8342826229.

Adding to 142101225 its reverse (522101241), we get a palindrome (664202466).

The spelling of 142101225 in words is "one hundred forty-two million, one hundred one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 12889 38667 64445 90223 116001 193335 270669 322225 451115 580005 631561 812007 966675 1353345 1894683 2255575 2900025 3157805 4060035 5684049 6766725 9473415 15789025 20300175 28420245 47367075 142101225