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102002003301 = 31114092193733
BaseRepresentation
bin101111011111111001…
…0110000110101100101
3100202021200202122111010
41132333302300311211
53132400003101201
6114505320532433
710240463502552
oct1367762606545
9322250678433
10102002003301
113a293520890
1217928321119
139807508893
144d18cbba29
1529bed95bd6
hex17bfcb0d65

102002003301 has 16 divisors (see below), whose sum is σ = 148471917120. Its totient is φ = 61775493120.

The previous prime is 102002003287. The next prime is 102002003303. The reversal of 102002003301 is 103300200201.

It is a happy number.

It is not a de Polignac number, because 102002003301 - 25 = 102002003269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002003303) 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 15 ways as a sum of consecutive naturals, for example, 1050370 + ... + 1143363.

It is an arithmetic number, because the mean of its divisors is an integer number (9279494820).

Almost surely, 2102002003301 is an apocalyptic number.

102002003301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102002003301 is a deficient number, since it is larger than the sum of its proper divisors (46469913819).

102002003301 is a wasteful number, since it uses less digits than its factorization.

102002003301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195156.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102002003301 its reverse (103300200201), we get a palindrome (205302203502).

The spelling of 102002003301 in words is "one hundred two billion, two million, three thousand, three hundred one".

Divisors: 1 3 11 33 1409 4227 15499 46497 2193733 6581199 24131063 72393189 3090969797 9272909391 34000667767 102002003301