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101400325 = 52131718353
BaseRepresentation
bin1100000101100…
…11111100000101
321001210200002121
412002303330011
5201424302300
614021205541
72340613525
oct602637405
9231720077
10101400325
1152268624
1229b608b1
1318013cc0
14d677685
158d7e81a
hex60b3f05

101400325 has 24 divisors (see below), whose sum is σ = 143381448. Its totient is φ = 70471680.

The previous prime is 101400323. The next prime is 101400329. The reversal of 101400325 is 523004101.

It can be written as a sum of positive squares in 12 ways, for example, as 61873956 + 39526369 = 7866^2 + 6287^2 .

It is not a de Polignac number, because 101400325 - 21 = 101400323 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101400299 and 101400308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400323) 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 23 ways as a sum of consecutive naturals, for example, 3652 + ... + 14701.

It is an arithmetic number, because the mean of its divisors is an integer number (5974227).

Almost surely, 2101400325 is an apocalyptic number.

It is an amenable number.

101400325 is a deficient number, since it is larger than the sum of its proper divisors (41981123).

101400325 is a wasteful number, since it uses less digits than its factorization.

101400325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18393 (or 18388 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 101400325 is about 10069.7728375570. The cubic root of 101400325 is about 466.3154258946.

Adding to 101400325 its reverse (523004101), we get a palindrome (624404426).

The spelling of 101400325 in words is "one hundred one million, four hundred thousand, three hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 221 325 425 1105 5525 18353 91765 238589 312001 458825 1192945 1560005 4056013 5964725 7800025 20280065 101400325