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1020202210001 = 13713291100213
BaseRepresentation
bin11101101100010001100…
…10100101001011010001
310121112022122110000201002
432312020302211023101
5113203333231210001
62100401401551345
7133464363463322
oct16661062451321
93545278400632
101020202210001
11363735607317
1214587b7a5555
1375287822660
1437541528449
151b81012646b
hexed88ca52d1

1020202210001 has 8 divisors (see below), whose sum is σ = 1098695704680. Its totient is φ = 941711058432.

The previous prime is 1020202209997. The next prime is 1020202210033. The reversal of 1020202210001 is 1000122020201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7170024976 + 1013032185025 = 84676^2 + 1006495^2 .

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 1020202210001 - 22 = 1020202209997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020202210051) 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 7 ways as a sum of consecutive naturals, for example, 377171 + ... + 1477383.

It is an arithmetic number, because the mean of its divisors is an integer number (137336963085).

Almost surely, 21020202210001 is an apocalyptic number.

It is an amenable number.

1020202210001 is a deficient number, since it is larger than the sum of its proper divisors (78493494679).

1020202210001 is a wasteful number, since it uses less digits than its factorization.

1020202210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171555.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020202210001 its reverse (1000122020201), we get a palindrome (2020324230202).

The spelling of 1020202210001 in words is "one trillion, twenty billion, two hundred two million, two hundred ten thousand, one".

Divisors: 1 13 71329 927277 1100213 14302769 78477093077 1020202210001