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101403125 = 5537877
BaseRepresentation
bin1100000101101…
…00100111110101
321001210210221022
412002310213311
5201424400000
614021230525
72340624635
oct602644765
9231723838
10101403125
115226a73a
1229b62445
1318015365
14d6786c5
158d80585
hex60b49f5

101403125 has 24 divisors (see below), whose sum is σ = 130319784. Its totient is φ = 78840000.

The previous prime is 101403119. The next prime is 101403131. The reversal of 101403125 is 521304101.

It is an interprime number because it is at equal distance from previous prime (101403119) and next prime (101403131).

It can be written as a sum of positive squares in 12 ways, for example, as 81884401 + 19518724 = 9049^2 + 4418^2 .

It is not a de Polignac number, because 101403125 - 26 = 101403061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115187 + ... + 116063.

It is an arithmetic number, because the mean of its divisors is an integer number (5429991).

Almost surely, 2101403125 is an apocalyptic number.

It is an amenable number.

101403125 is a deficient number, since it is larger than the sum of its proper divisors (28916659).

101403125 is an frugal number, since it uses more digits than its factorization.

101403125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101403125 is about 10069.9118665458. The cubic root of 101403125 is about 466.3197180280.

Adding to 101403125 its reverse (521304101), we get a palindrome (622707226).

The spelling of 101403125 in words is "one hundred one million, four hundred three thousand, one hundred twenty-five".

Divisors: 1 5 25 37 125 185 625 877 925 3125 4385 4625 21925 23125 32449 109625 115625 162245 548125 811225 2740625 4056125 20280625 101403125