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1054100141 = 3738973237
BaseRepresentation
bin111110110101000…
…100101010101101
32201110110211112222
4332311010222231
54124322201031
6252333005125
735056463153
oct7665045255
92643424488
101054100141
114a1015046
122550237a5
1313a4cc8c3
149ddd13d3
156281ae7b
hex3ed44aad

1054100141 has 8 divisors (see below), whose sum is σ = 1085387160. Its totient is φ = 1022960448.

The previous prime is 1054100137. The next prime is 1054100167. The reversal of 1054100141 is 1410014501.

It can be written as a sum of positive squares in 4 ways, for example, as 217444516 + 836655625 = 14746^2 + 28925^2 .

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 1054100141 - 22 = 1054100137 is a prime.

It is a super-2 number, since 2×10541001412 = 2222254214512439762, 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 (1054100111) 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, 22226 + ... + 51011.

It is an arithmetic number, because the mean of its divisors is an integer number (135673395).

Almost surely, 21054100141 is an apocalyptic number.

It is an amenable number.

1054100141 is a deficient number, since it is larger than the sum of its proper divisors (31287019).

1054100141 is an equidigital number, since it uses as much as digits as its factorization.

1054100141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73663.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1054100141 is about 32466.9083991685. The cubic root of 1054100141 is about 1017.7176126027.

Adding to 1054100141 its reverse (1410014501), we get a palindrome (2464114642).

The spelling of 1054100141 in words is "one billion, fifty-four million, one hundred thousand, one hundred forty-one".

Divisors: 1 37 389 14393 73237 2709769 28489193 1054100141