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102244103402301 = 3272231846039461
BaseRepresentation
bin10111001111110110001111…
…011101101011001100111101
3111102000102220100210000222200
4113033312033131223030331
5101400131410432333201
61001242143114502113
730351615124264200
oct2717661735531475
9442012810700880
10102244103402301
112a63a531966073
12b573713434939
134508767c35723
141b368d8cdd937
15bc490caa6386
hex5cfd8f76b33d

102244103402301 has 18 divisors (see below), whose sum is σ = 171797915241342. Its totient is φ = 58425201943920.

The previous prime is 102244103402213. The next prime is 102244103402303. The reversal of 102244103402301 is 103204301442201.

102244103402301 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 4 + 4 + 10 + 340 + 2 + 301 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102128224434201 + 115878968100 = 10105851^2 + 340410^2 .

It is not a de Polignac number, because 102244103402301 - 217 = 102244103271229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102244103402303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115923019290 + ... + 115923020171.

It is an arithmetic number, because the mean of its divisors is an integer number (9544328624519).

Almost surely, 2102244103402301 is an apocalyptic number.

It is an amenable number.

102244103402301 is a deficient number, since it is larger than the sum of its proper divisors (69553811839041).

102244103402301 is a wasteful number, since it uses less digits than its factorization.

102244103402301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231846039481 (or 231846039471 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102244103402301 its reverse (103204301442201), we get a palindrome (205448404844502).

The spelling of 102244103402301 in words is "one hundred two trillion, two hundred forty-four billion, one hundred three million, four hundred two thousand, three hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 231846039461 695538118383 1622922276227 2086614355149 4868766828681 11360455933589 14606300486043 34081367800767 102244103402301