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100253823 = 3191758839
BaseRepresentation
bin1011111100111…
…00000001111111
320222122102101120
411332130001333
5201131110243
613540442023
72325100125
oct576340177
9228572346
10100253823
11516551aa
12296a9313
1317a021b7
14d459915
158c04c83
hex5f9c07f

100253823 has 8 divisors (see below), whose sum is σ = 140707200. Its totient is φ = 63318168.

The previous prime is 100253809. The next prime is 100253827. The reversal of 100253823 is 328352001.

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

It is not a de Polignac number, because 100253823 - 224 = 83476607 is a prime.

It is a super-2 number, since 2×1002538232 = 20101658052230658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100253793 and 100253802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100253827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879363 + ... + 879476.

It is an arithmetic number, because the mean of its divisors is an integer number (17588400).

Almost surely, 2100253823 is an apocalyptic number.

100253823 is a deficient number, since it is larger than the sum of its proper divisors (40453377).

100253823 is a wasteful number, since it uses less digits than its factorization.

100253823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758861.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 100253823 is about 10012.6831069399. The cubic root of 100253823 is about 464.5512655637.

The spelling of 100253823 in words is "one hundred million, two hundred fifty-three thousand, eight hundred twenty-three".

Divisors: 1 3 19 57 1758839 5276517 33417941 100253823