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10601000001 = 321577502477
BaseRepresentation
bin10011101111101111…
…00110110001000001
31000100210122121010200
421313313212301001
5133202324000001
64511532115413
7523463004354
oct116767466101
930323577120
1010601000001
11454aa96229
12207a305b69
13ccc376287
14727cca29b
15420a27086
hex277de6c41

10601000001 has 12 divisors (see below), whose sum is σ = 15410089812. Its totient is φ = 7022317536.

The previous prime is 10600999987. The next prime is 10601000021. The reversal of 10601000001 is 10000010601.

It can be written as a sum of positive squares in 2 ways, for example, as 2937748401 + 7663251600 = 54201^2 + 87540^2 .

It is not a de Polignac number, because 10601000001 - 227 = 10466782273 is a prime.

It is a super-2 number, since 2×106010000012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10601000021) 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 11 ways as a sum of consecutive naturals, for example, 3749826 + ... + 3752651.

It is an arithmetic number, because the mean of its divisors is an integer number (1284174151).

Almost surely, 210601000001 is an apocalyptic number.

It is an amenable number.

10601000001 is a deficient number, since it is larger than the sum of its proper divisors (4809089811).

10601000001 is a wasteful number, since it uses less digits than its factorization.

10601000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502640 (or 7502637 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10601000001 its reverse (10000010601), we get a palindrome (20601010602).

The spelling of 10601000001 in words is "ten billion, six hundred one million, one", and thus it is an aban number.

Divisors: 1 3 9 157 471 1413 7502477 22507431 67522293 1177888889 3533666667 10601000001