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101424132 = 22322817337
BaseRepresentation
bin1100000101110…
…01110000000100
321001211212202100
412002321300010
5201431033012
614021512100
72341043115
oct602716004
9231755670
10101424132
11522844a7
1229b72630
1318021aa4
14d68220c
158d868dc
hex60b9c04

101424132 has 18 divisors (see below), whose sum is σ = 256377758. Its totient is φ = 33808032.

The previous prime is 101424101. The next prime is 101424137. The reversal of 101424132 is 231424101.

It can be written as a sum of positive squares in only one way, i.e., 77158656 + 24265476 = 8784^2 + 4926^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101424137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1408633 + ... + 1408704.

Almost surely, 2101424132 is an apocalyptic number.

101424132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101424132 is an abundant number, since it is smaller than the sum of its proper divisors (154953626).

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

101424132 is a wasteful number, since it uses less digits than its factorization.

101424132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817347 (or 2817342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101424132 is about 10070.9548703189. The cubic root of 101424132 is about 466.3519172393.

Adding to 101424132 its reverse (231424101), we get a palindrome (332848233).

The spelling of 101424132 in words is "one hundred one million, four hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2817337 5634674 8452011 11269348 16904022 25356033 33808044 50712066 101424132