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101501499649 = 11426332
BaseRepresentation
bin101111010000111110…
…1011111100100000001
3100200222210222102112211
41132201331133210001
53130333340442044
6114343521222121
710222205340334
oct1364175374401
9320883872484
10101501499649
113a056a50000
1217808791941
139757908484
144cac63461b
152990e7d634
hex17a1f5f901

101501499649 has 15 divisors (see below), whose sum is σ = 111693376915. Its totient is φ = 92239045360.

The previous prime is 101501499647. The next prime is 101501499679. The reversal of 101501499649 is 946994105101.

The square root of 101501499649 is 318593.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16606188225 + 84895311424 = 128865^2 + 291368^2 .

It is not a de Polignac number, because 101501499649 - 21 = 101501499647 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101501499647) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38548437 + ... + 38551069.

Almost surely, 2101501499649 is an apocalyptic number.

101501499649 is the 318593-rd square number.

101501499649 is the 159297-th centered octagonal number.

It is an amenable number.

101501499649 is a deficient number, since it is larger than the sum of its proper divisors (10191877266).

101501499649 is an frugal number, since it uses more digits than its factorization.

101501499649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 49.

Multiplying 101501499649 by its sum of digits (49), we get a square (4973573482801 = 22301512).

The spelling of 101501499649 in words is "one hundred one billion, five hundred one million, four hundred ninety-nine thousand, six hundred forty-nine".

Divisors: 1 11 121 1331 2633 14641 28963 318593 3504523 6932689 38549753 76259579 838855369 9227409059 101501499649