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2002002202101 = 311464313066279
BaseRepresentation
bin11101001000100000101…
…000010100110111110101
321002101111222100020220110
4131020200220110313311
5230300100030431401
64131412423053233
7264432323640666
oct35104050246765
97071458306813
102002002202101
11702054061970
122840025a1219
13116a322ccb45
146cc7c75d36d
1537123b779d6
hex1d220a14df5

2002002202101 has 16 divisors (see below), whose sum is σ = 2912630607360. Its totient is φ = 1213073249520.

The previous prime is 2002002202087. The next prime is 2002002202129. The reversal of 2002002202101 is 1012022002002.

It is not a de Polignac number, because 2002002202101 - 26 = 2002002202037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002002202001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6379921 + ... + 6686358.

It is an arithmetic number, because the mean of its divisors is an integer number (182039412960).

Almost surely, 22002002202101 is an apocalyptic number.

It is an amenable number.

2002002202101 is a deficient number, since it is larger than the sum of its proper divisors (910628405259).

2002002202101 is a wasteful number, since it uses less digits than its factorization.

2002002202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13070936.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002002202101 its reverse (1012022002002), we get a palindrome (3014024204103).

The spelling of 2002002202101 in words is "two trillion, two billion, two million, two hundred two thousand, one hundred one".

Divisors: 1 3 11 33 4643 13929 51073 153219 13066279 39198837 143729069 431187207 60666733397 182000200191 667334067367 2002002202101