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1010245242141 = 32112249471349
BaseRepresentation
bin11101011001101110100…
…11110000110100011101
310120120121201122122120200
432230313103300310131
5113022440240222031
62052033353334113
7132662550605442
oct16546723606435
93516551578520
101010245242141
1135a496113a63
12143961107339
137435ba20bb5
1436c78da79c9
151b42ae188e6
hexeb374f0d1d

1010245242141 has 6 divisors (see below), whose sum is σ = 1459243127550. Its totient is φ = 673496828088.

The previous prime is 1010245242119. The next prime is 1010245242179. The reversal of 1010245242141 is 1412425420101.

1010245242141 is a `hidden beast` number, since 10 + 102 + 4 + 524 + 21 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 720892694916 + 289352547225 = 849054^2 + 537915^2 .

It is not a de Polignac number, because 1010245242141 - 217 = 1010245111069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010245242191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56124735666 + ... + 56124735683.

It is an arithmetic number, because the mean of its divisors is an integer number (243207187925).

Almost surely, 21010245242141 is an apocalyptic number.

It is an amenable number.

1010245242141 is a deficient number, since it is larger than the sum of its proper divisors (448997885409).

1010245242141 is a wasteful number, since it uses less digits than its factorization.

1010245242141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112249471355 (or 112249471352 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 1010245242141 in words is "one trillion, ten billion, two hundred forty-five million, two hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 112249471349 336748414047 1010245242141