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100225541 = 139779481
BaseRepresentation
bin1011111100101…
…01001000000101
320222120222121002
411332111020011
5201124204131
613540103045
72324621513
oct576251005
9228528532
10100225541
1151635a29
1229694a85
13179c2370
14d44d4b3
158beb6cb
hex5f95205

100225541 has 8 divisors (see below), whose sum is σ = 109049304. Its totient is φ = 91560960.

The previous prime is 100225529. The next prime is 100225547. The reversal of 100225541 is 145522001.

It can be written as a sum of positive squares in 4 ways, for example, as 2788900 + 97436641 = 1670^2 + 9871^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100225541 - 210 = 100224517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100225547) 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 7 ways as a sum of consecutive naturals, for example, 38480 + ... + 41001.

It is an arithmetic number, because the mean of its divisors is an integer number (13631163).

Almost surely, 2100225541 is an apocalyptic number.

It is an amenable number.

100225541 is a deficient number, since it is larger than the sum of its proper divisors (8823763).

100225541 is an equidigital number, since it uses as much as digits as its factorization.

100225541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79591.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 100225541 is about 10011.2706985677. The cubic root of 100225541 is about 464.5075775388.

Adding to 100225541 its reverse (145522001), we get a palindrome (245747542).

The spelling of 100225541 in words is "one hundred million, two hundred twenty-five thousand, five hundred forty-one".

Divisors: 1 13 97 1261 79481 1033253 7709657 100225541