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1002220010213 = 29416113818197
BaseRepresentation
bin11101001010110001111…
…01111011101011100101
310112210220102202121222112
432211120331323223211
5112410021310311323
62044225153010405
7132256642346012
oct16453075735345
93483812677875
101002220010213
11357048082484
121422a1553a05
13736801b5156
1436717212709
151b10b5d7178
hexe958f7bae5

1002220010213 has 16 divisors (see below), whose sum is σ = 1079477627760. Its totient is φ = 928582771200.

The previous prime is 1002220010089. The next prime is 1002220010227. The reversal of 1002220010213 is 3120100222001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 390622500004 + 611597510209 = 624998^2 + 782047^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002220010213 - 238 = 727342103269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002220010243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6836570 + ... + 6981627.

It is an arithmetic number, because the mean of its divisors is an integer number (67467351735).

Almost surely, 21002220010213 is an apocalyptic number.

It is an amenable number.

1002220010213 is a deficient number, since it is larger than the sum of its proper divisors (77257617547).

1002220010213 is a wasteful number, since it uses less digits than its factorization.

1002220010213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13818328.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1002220010213 its reverse (3120100222001), we get a palindrome (4122320232214).

The spelling of 1002220010213 in words is "one trillion, two billion, two hundred twenty million, ten thousand, two hundred thirteen".

Divisors: 1 29 41 61 1189 1769 2501 72529 13818197 400727713 566546077 842910017 16429836233 24444390493 34559310697 1002220010213