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102212002021 = 3131085330089
BaseRepresentation
bin101111100110001001…
…1110110000011100101
3100202211022220200120111
41133030103312003211
53133312233031041
6114542221533021
710245623452663
oct1371423660345
9322738820514
10102212002021
113a391012a48
1217986714171
13983bb83c8c
144d38b43c33
1529d3527981
hex17cc4f60e5

102212002021 has 8 divisors (see below), whose sum is σ = 102551414040. Its totient is φ = 101872672512.

The previous prime is 102212001971. The next prime is 102212002063. The reversal of 102212002021 is 120200212201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 313785796 + 101898216225 = 17714^2 + 319215^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102212002021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102212001992 and 102212002010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212006021) 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, 3381945 + ... + 3412033.

It is an arithmetic number, because the mean of its divisors is an integer number (12818926755).

Almost surely, 2102212002021 is an apocalyptic number.

It is an amenable number.

102212002021 is a deficient number, since it is larger than the sum of its proper divisors (339412019).

102212002021 is a wasteful number, since it uses less digits than its factorization.

102212002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41255.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102212002021 its reverse (120200212201), we get a palindrome (222412214222).

The spelling of 102212002021 in words is "one hundred two billion, two hundred twelve million, two thousand, twenty-one".

Divisors: 1 313 10853 30089 3396989 9417857 326555917 102212002021