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1002122020221 = 37711211355487
BaseRepresentation
bin11101001010100110010…
…00001000010101111101
310112210122121101012222120
432211103020020111331
5112404321214121341
62044211332433153
7132254342424630
oct16452310102575
93483577335876
101002122020221
11356aa7834113
121422747787b9
1373665ac64ca
14367081c5c17
151b102bcd066
hexe95320857d

1002122020221 has 32 divisors (see below), whose sum is σ = 1548706480128. Its totient is φ = 564519002880.

The previous prime is 1002122020201. The next prime is 1002122020241. The reversal of 1002122020221 is 1220202212001.

It is an interprime number because it is at equal distance from previous prime (1002122020201) and next prime (1002122020241).

It is not a de Polignac number, because 1002122020221 - 214 = 1002122003837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002122020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002122020201) 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 31 ways as a sum of consecutive naturals, for example, 18032740 + ... + 18088226.

It is an arithmetic number, because the mean of its divisors is an integer number (48397077504).

Almost surely, 21002122020221 is an apocalyptic number.

It is an amenable number.

1002122020221 is a deficient number, since it is larger than the sum of its proper divisors (546584459907).

1002122020221 is a wasteful number, since it uses less digits than its factorization.

1002122020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67681.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1002122020221 its reverse (1220202212001), we get a palindrome (2222324232222).

The spelling of 1002122020221 in words is "one trillion, two billion, one hundred twenty-two million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 21 71 213 497 1491 12113 36339 55487 84791 166461 254373 388409 860023 1165227 2580069 3939577 6020161 11818731 18060483 27577039 82731117 672114031 2016342093 4704798217 14114394651 47720096201 143160288603 334040673407 1002122020221