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102002210001 = 3231401911719
BaseRepresentation
bin101111011111111001…
…1100011010011010001
3100202021201011011000200
41132333303203103101
53132400031210001
6114505325205413
710240465323306
oct1367763432321
9322251134020
10102002210001
113a29365210a
1217928400869
13980757b9a3
144d18d330ad
1529bedd7086
hex17bfce34d1

102002210001 has 24 divisors (see below), whose sum is σ = 152468759040. Its totient is φ = 65643696000.

The previous prime is 102002209999. The next prime is 102002210027. The reversal of 102002210001 is 100012200201.

It is not a de Polignac number, because 102002210001 - 21 = 102002209999 is a prime.

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 (102002210501) 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 23 ways as a sum of consecutive naturals, for example, 343981 + ... + 567738.

It is an arithmetic number, because the mean of its divisors is an integer number (6352864960).

Almost surely, 2102002210001 is an apocalyptic number.

It is an amenable number.

102002210001 is a deficient number, since it is larger than the sum of its proper divisors (50466549039).

102002210001 is a wasteful number, since it uses less digits than its factorization.

102002210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912157 (or 912154 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102002210001 its reverse (100012200201), we get a palindrome (202014410202).

The spelling of 102002210001 in words is "one hundred two billion, two million, two hundred ten thousand, one".

Divisors: 1 3 9 31 93 279 401 1203 3609 12431 37293 111879 911719 2735157 8205471 28263289 84789867 254369601 365599319 1096797957 3290393871 11333578889 34000736667 102002210001