Search a number
-
+
100142361 = 32111011539
BaseRepresentation
bin1011111100000…
…00110100011001
320222102202111100
411332000310121
5201114023421
613534222013
72324124144
oct576006431
9228382440
10100142361
1151589490
1229654909
1317993547
14d42b05b
158bd1c26
hex5f80d19

100142361 has 12 divisors (see below), whose sum is σ = 157800240. Its totient is φ = 60692280.

The previous prime is 100142353. The next prime is 100142381. The reversal of 100142361 is 163241001.

It is a happy number.

It is not a de Polignac number, because 100142361 - 23 = 100142353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100142321) 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 11 ways as a sum of consecutive naturals, for example, 505671 + ... + 505868.

It is an arithmetic number, because the mean of its divisors is an integer number (13150020).

Almost surely, 2100142361 is an apocalyptic number.

100142361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100142361 is a deficient number, since it is larger than the sum of its proper divisors (57657879).

100142361 is a wasteful number, since it uses less digits than its factorization.

100142361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011556 (or 1011553 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100142361 is about 10007.1155184698. The cubic root of 100142361 is about 464.3790393315.

Adding to 100142361 its reverse (163241001), we get a palindrome (263383362).

The spelling of 100142361 in words is "one hundred million, one hundred forty-two thousand, three hundred sixty-one".

Divisors: 1 3 9 11 33 99 1011539 3034617 9103851 11126929 33380787 100142361