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100142131 = 414016091
BaseRepresentation
bin1011111100000…
…00110000110011
320222102202011211
411332000300303
5201114022011
613534220551
72324123365
oct576006063
9228382154
10100142131
11515892a1
1229654757
13179933cb
14d42ad35
158bd1b21
hex5f80c33

100142131 has 8 divisors (see below), whose sum is σ = 102857328. Its totient is φ = 97440000.

The previous prime is 100142129. The next prime is 100142149. The reversal of 100142131 is 131241001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100142131 - 21 = 100142129 is a prime.

It is a super-2 number, since 2×1001421312 = 20056892802442322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100142531) 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 7 ways as a sum of consecutive naturals, for example, 13396 + ... + 19486.

It is an arithmetic number, because the mean of its divisors is an integer number (12857166).

Almost surely, 2100142131 is an apocalyptic number.

100142131 is a deficient number, since it is larger than the sum of its proper divisors (2715197).

100142131 is an equidigital number, since it uses as much as digits as its factorization.

100142131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 100142131 is about 10007.1040266403. The cubic root of 100142131 is about 464.3786838135.

Adding to 100142131 its reverse (131241001), we get a palindrome (231383132).

The spelling of 100142131 in words is "one hundred million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 41 401 6091 16441 249731 2442491 100142131