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1004000134131 = 33311199522263
BaseRepresentation
bin11101001110000110001…
…00100100001111110011
310112222111111101021221000
432213003010210033303
5112422143013243011
62045121543133043
7132352026221451
oct16470304441763
93488444337830
101004000134131
113578809a0975
121426b9744183
13738a4c36307
14368457d39d1
151b1b2a16356
hexe9c31243f3

1004000134131 has 16 divisors (see below), whose sum is σ = 1535388497920. Its totient is φ = 647742021480.

The previous prime is 1004000134129. The next prime is 1004000134171. The reversal of 1004000134131 is 1314310004001.

1004000134131 is a `hidden beast` number, since 1 + 0 + 0 + 400 + 0 + 134 + 131 = 666.

1004000134131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1004000134131 - 21 = 1004000134129 is a prime.

It is a super-2 number, since 2×10040001341312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004000134171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599760295 + ... + 599761968.

It is an arithmetic number, because the mean of its divisors is an integer number (95961781120).

Almost surely, 21004000134131 is an apocalyptic number.

1004000134131 is a deficient number, since it is larger than the sum of its proper divisors (531388363789).

1004000134131 is a wasteful number, since it uses less digits than its factorization.

1004000134131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199522303 (or 1199522297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1004000134131 its reverse (1314310004001), we get a palindrome (2318310138132).

The spelling of 1004000134131 in words is "one trillion, four billion, one hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 27 31 93 279 837 1199522263 3598566789 10795700367 32387101101 37185190153 111555570459 334666711377 1004000134131