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101350405 = 5139411657
BaseRepresentation
bin1100000101001…
…11110000000101
321001201010121201
412002213300011
5201421203110
614020142501
72340315142
oct602476005
9231633551
10101350405
1152234072
1229b37a31
1317cc7370
14d6633c9
158d6eb3a
hex60a7c05

101350405 has 16 divisors (see below), whose sum is σ = 131194224. Its totient is φ = 74718720.

The previous prime is 101350373. The next prime is 101350409. The reversal of 101350405 is 504053101.

It can be written as a sum of positive squares in 8 ways, for example, as 8767521 + 92582884 = 2961^2 + 9622^2 .

It is not a de Polignac number, because 101350405 - 25 = 101350373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101350409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60337 + ... + 61993.

It is an arithmetic number, because the mean of its divisors is an integer number (8199639).

Almost surely, 2101350405 is an apocalyptic number.

It is an amenable number.

101350405 is a deficient number, since it is larger than the sum of its proper divisors (29843819).

101350405 is a wasteful number, since it uses less digits than its factorization.

101350405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 101350405 is about 10067.2938270421. The cubic root of 101350405 is about 466.2388900217.

The spelling of 101350405 in words is "one hundred one million, three hundred fifty thousand, four hundred five".

Divisors: 1 5 13 65 941 1657 4705 8285 12233 21541 61165 107705 1559237 7796185 20270081 101350405