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1002121022021 = 72172431645727
BaseRepresentation
bin11101001010100110001…
…00010100101001000101
310112210122112111111201012
432211103010110221011
5112404320440201041
62044211255212005
7132254331066500
oct16452304245105
93483575444635
101002121022021
11356aa7212159
12142274377005
1373665837062
1436708006137
151b102a823eb
hexe953114a45

1002121022021 has 36 divisors (see below), whose sum is σ = 1267138147968. Its totient is φ = 789632500608.

The previous prime is 1002121022003. The next prime is 1002121022047. The reversal of 1002121022021 is 1202201212001.

It is not a de Polignac number, because 1002121022021 - 222 = 1002116827717 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002121021987 and 1002121022005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002121022051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 213941 + ... + 1431786.

It is an arithmetic number, because the mean of its divisors is an integer number (35198281888).

Almost surely, 21002121022021 is an apocalyptic number.

It is an amenable number.

1002121022021 is a deficient number, since it is larger than the sum of its proper divisors (265017125947).

1002121022021 is a wasteful number, since it uses less digits than its factorization.

1002121022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645818 (or 1645794 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002121022021 its reverse (1202201212001), we get a palindrome (2204322234022).

The spelling of 1002121022021 in words is "one trillion, two billion, one hundred twenty-one million, twenty-two thousand, twenty-one".

Divisors: 1 7 17 43 49 119 289 301 731 833 2023 2107 5117 12427 14161 35819 86989 608923 1645727 11520089 27977359 70766261 80640623 195841513 475615103 495363827 1203026437 1370890591 3329305721 3467546789 8421185059 20451449429 23305140047 58948295413 143160146003 1002121022021