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100252141 = 1173124847
BaseRepresentation
bin1011111100110…
…11100111101101
320222122100002021
411332123213231
5201131032031
613540430141
72325062203
oct576334755
9228570067
10100252141
1151653a10
12296a8351
1317a014c2
14d459073
158c04511
hex5f9b9ed

100252141 has 8 divisors (see below), whose sum is σ = 110865024. Its totient is φ = 89889120.

The previous prime is 100252133. The next prime is 100252199. The reversal of 100252141 is 141252001.

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 100252141 - 23 = 100252133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100252241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61621 + ... + 63226.

It is an arithmetic number, because the mean of its divisors is an integer number (13858128).

Almost surely, 2100252141 is an apocalyptic number.

100252141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100252141 is a deficient number, since it is larger than the sum of its proper divisors (10612883).

100252141 is a wasteful number, since it uses less digits than its factorization.

100252141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124931.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 100252141 is about 10012.5991131174. The cubic root of 100252141 is about 464.5486675594.

The spelling of 100252141 in words is "one hundred million, two hundred fifty-two thousand, one hundred forty-one".

Divisors: 1 11 73 803 124847 1373317 9113831 100252141