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102501101513 = 232193763897
BaseRepresentation
bin101111101110110001…
…0101010111111001001
3100210120110220110112002
41133131202222333021
53134410240222023
6115031030200345
710256033662436
oct1373542527711
9323513813462
10102501101513
113a51a221748
1217a474b30b5
139886a36375
144d652bab8d
1529edad1b28
hex17dd8aafc9

102501101513 has 6 divisors (see below), whose sum is σ = 107151435594. Its totient is φ = 98044531376.

The previous prime is 102501101509. The next prime is 102501101519. The reversal of 102501101513 is 315101105201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 64603913929 + 37897187584 = 254173^2 + 194672^2 .

It is not a de Polignac number, because 102501101513 - 22 = 102501101509 is a prime.

It is a super-2 number, since 2×1025011015132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102501101519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96881420 + ... + 96882477.

It is an arithmetic number, because the mean of its divisors is an integer number (17858572599).

Almost surely, 2102501101513 is an apocalyptic number.

It is an amenable number.

102501101513 is a deficient number, since it is larger than the sum of its proper divisors (4650334081).

102501101513 is an equidigital number, since it uses as much as digits as its factorization.

102501101513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193763943 (or 193763920 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 102501101513 its reverse (315101105201), we get a palindrome (417602206714).

The spelling of 102501101513 in words is "one hundred two billion, five hundred one million, one hundred one thousand, five hundred thirteen".

Divisors: 1 23 529 193763897 4456569631 102501101513