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100040525 = 5213307817
BaseRepresentation
bin1011111011001…
…11111101001101
320222020120210122
411331213331031
5201102244100
613532114325
72323221224
oct575477515
9228216718
10100040525
1151519a22
12296059a5
13179590a0
14d401cbb
158bb1985
hex5f67f4d

100040525 has 12 divisors (see below), whose sum is σ = 133593012. Its totient is φ = 73875840.

The previous prime is 100040519. The next prime is 100040531. The reversal of 100040525 is 525040001.

It is an interprime number because it is at equal distance from previous prime (100040519) and next prime (100040531).

It can be written as a sum of positive squares in 6 ways, for example, as 2010724 + 98029801 = 1418^2 + 9901^2 .

It is not a de Polignac number, because 100040525 - 24 = 100040509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153584 + ... + 154233.

It is an arithmetic number, because the mean of its divisors is an integer number (11132751).

Almost surely, 2100040525 is an apocalyptic number.

It is an amenable number.

100040525 is a deficient number, since it is larger than the sum of its proper divisors (33552487).

100040525 is a wasteful number, since it uses less digits than its factorization.

100040525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307840 (or 307835 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 100040525 is about 10002.0260447571. The cubic root of 100040525 is about 464.2215750226.

Adding to 100040525 its reverse (525040001), we get a palindrome (625080526).

The spelling of 100040525 in words is "one hundred million, forty thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 325 307817 1539085 4001621 7695425 20008105 100040525