Search a number
-
+
101775132 = 22322827087
BaseRepresentation
bin1100001000011…
…11011100011100
321002111201020100
412010033130130
5202023301012
614033221100
72344034334
oct604173434
9232451210
10101775132
11524a4188
122a101790
1318115794
14d7340c4
158e058dc
hex610f71c

101775132 has 18 divisors (see below), whose sum is σ = 257265008. Its totient is φ = 33925032.

The previous prime is 101775119. The next prime is 101775137. The reversal of 101775132 is 231577101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 101775096 and 101775105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101775137) 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 5 ways as a sum of consecutive naturals, for example, 1413508 + ... + 1413579.

Almost surely, 2101775132 is an apocalyptic number.

101775132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101775132 is an abundant number, since it is smaller than the sum of its proper divisors (155489876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101775132 is a wasteful number, since it uses less digits than its factorization.

101775132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827097 (or 2827092 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 101775132 is about 10088.3661709912. The cubic root of 101775132 is about 466.8892681779.

The spelling of 101775132 in words is "one hundred one million, seven hundred seventy-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2827087 5654174 8481261 11308348 16962522 25443783 33925044 50887566 101775132