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1005225150141 = 32111691683349
BaseRepresentation
bin11101010000011000001…
…01101000011010111101
310120002122212110112222100
432220030011220122331
5112432200114301031
62045443303335313
7132424262536632
oct16501405503275
93502585415870
101005225150141
1135834a4335a3
1214299ba51539
1373a3b979064
1436920396189
151b235343de6
hexea0c1686bd

1005225150141 has 6 divisors (see below), whose sum is σ = 1451991883550. Its totient is φ = 670150100088.

The previous prime is 1005225150133. The next prime is 1005225150271. The reversal of 1005225150141 is 1410515225001.

It is a happy number.

1005225150141 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 2 + 515 + 0 + 141 = 666.

It can be written as a sum of positive squares in only one way, i.e., 779247562500 + 225977587641 = 882750^2 + 475371^2 .

It is not a de Polignac number, because 1005225150141 - 23 = 1005225150133 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 (1005225150541) 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 5 ways as a sum of consecutive naturals, for example, 55845841666 + ... + 55845841683.

Almost surely, 21005225150141 is an apocalyptic number.

It is an amenable number.

1005225150141 is a deficient number, since it is larger than the sum of its proper divisors (446766733409).

1005225150141 is a wasteful number, since it uses less digits than its factorization.

1005225150141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111691683355 (or 111691683352 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 1005225150141 in words is "one trillion, five billion, two hundred twenty-five million, one hundred fifty thousand, one hundred forty-one".

Divisors: 1 3 9 111691683349 335075050047 1005225150141