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101003431 = 437093313
BaseRepresentation
bin1100000010100…
…11000010100111
321001001111122211
412001103002213
5201324102211
614004504251
72334341434
oct601230247
9231044584
10101003431
1152017411
12299ab087
1317c05459
14d5b2b8b
158d01e21
hex60530a7

101003431 has 8 divisors (see below), whose sum is σ = 103529360. Its totient is φ = 98485632.

The previous prime is 101003429. The next prime is 101003467. The reversal of 101003431 is 134300101.

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 101003431 - 21 = 101003429 is a prime.

It is a super-2 number, since 2×1010034312 = 20403386147543522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003471) 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 7 ways as a sum of consecutive naturals, for example, 28831 + ... + 32143.

It is an arithmetic number, because the mean of its divisors is an integer number (12941170).

Almost surely, 2101003431 is an apocalyptic number.

101003431 is a deficient number, since it is larger than the sum of its proper divisors (2525929).

101003431 is an equidigital number, since it uses as much as digits as its factorization.

101003431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101003431 is about 10050.0463183012. The cubic root of 101003431 is about 465.7062240539.

Adding to 101003431 its reverse (134300101), we get a palindrome (235303532).

It can be divided in two parts, 10100 and 3431, that added together give a palindrome (13531).

The spelling of 101003431 in words is "one hundred one million, three thousand, four hundred thirty-one".

Divisors: 1 43 709 3313 30487 142459 2348917 101003431