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102002000221 = 1125136943861
BaseRepresentation
bin101111011111111001…
…0110000000101011101
3100202021200202111021001
41132333302300011131
53132400003001341
6114505320510301
710240463460562
oct1367762600535
9322250674231
10102002000221
113a293519540
121792831b391
139807507364
144d18cba869
1529bed94d31
hex17bfcb015d

102002000221 has 8 divisors (see below), whose sum is σ = 111718238688. Its totient is φ = 92359650000.

The previous prime is 102002000207. The next prime is 102002000231. The reversal of 102002000221 is 122000200201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102002000221 - 211 = 102001998173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102002000198 and 102002000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002000231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18469170 + ... + 18474691.

It is an arithmetic number, because the mean of its divisors is an integer number (13964779836).

Almost surely, 2102002000221 is an apocalyptic number.

102002000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102002000221 is a deficient number, since it is larger than the sum of its proper divisors (9716238467).

102002000221 is a wasteful number, since it uses less digits than its factorization.

102002000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36944123.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102002000221 its reverse (122000200201), we get a palindrome (224002200422).

The spelling of 102002000221 in words is "one hundred two billion, two million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 251 2761 36943861 406382471 9272909111 102002000221