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140106311001 = 3227997556037
BaseRepresentation
bin1000001001111011111…
…1001010010101011001
3111101122020202001000200
42002132333022111121
54243414203423001
6144210340252413
713056651664626
oct2023677122531
9441566661020
10140106311001
11544673a6178
12231a13a1109
131029a905207
146ad17c334d
1539a0221086
hex209efca559

140106311001 has 12 divisors (see below), whose sum is σ = 202383375012. Its totient is φ = 93400703136.

The previous prime is 140106310999. The next prime is 140106311003. The reversal of 140106311001 is 100113601041.

140106311001 is a `hidden beast` number, since 14 + 0 + 10 + 631 + 10 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (140106310999) and next prime (140106311003).

It can be written as a sum of positive squares in 2 ways, for example, as 99574958025 + 40531352976 = 315555^2 + 201324^2 .

It is not a de Polignac number, because 140106311001 - 21 = 140106310999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140106311003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26046 + ... + 529991.

It is an arithmetic number, because the mean of its divisors is an integer number (16865281251).

Almost surely, 2140106311001 is an apocalyptic number.

It is an amenable number.

140106311001 is a deficient number, since it is larger than the sum of its proper divisors (62277064011).

140106311001 is a wasteful number, since it uses less digits than its factorization.

140106311001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584040 (or 584037 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 140106311001 its reverse (100113601041), we get a palindrome (240219912042).

The spelling of 140106311001 in words is "one hundred forty billion, one hundred six million, three hundred eleven thousand, one".

Divisors: 1 3 9 27997 83991 251973 556037 1668111 5004333 15567367889 46702103667 140106311001