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1002221020020 = 2235111871811607
BaseRepresentation
bin11101001010110010000…
…01110010001101110100
310112210220111122221011210
432211121001302031310
5112410022040120040
62044225230401420
7132256654053033
oct16453101621564
93483814587153
101002221020020
11357048702130
121422a1960270
137368047997c
14367173d671a
151b10b736480
hexe959072374

1002221020020 has 96 divisors (see below), whose sum is σ = 3062969634816. Its totient is φ = 242832515200.

The previous prime is 1002221019979. The next prime is 1002221020027. The reversal of 1002221020020 is 200201222001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002221019978 and 1002221020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002221020027) 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, 829057 + ... + 1640663.

It is an arithmetic number, because the mean of its divisors is an integer number (31905933696).

Almost surely, 21002221020020 is an apocalyptic number.

1002221020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002221020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531484817408).

1002221020020 is an abundant number, since it is smaller than the sum of its proper divisors (2060748614796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002221020020 is a wasteful number, since it uses less digits than its factorization.

1002221020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813501 (or 813499 counting only the distinct ones).

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

Adding to 1002221020020 its reverse (200201222001), we get a palindrome (1202422242021).

The spelling of 1002221020020 in words is "one trillion, two billion, two hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1871 3742 5613 7484 9355 11226 18710 20581 22452 28065 37420 41162 56130 61743 82324 102905 112260 123486 205810 246972 308715 411620 617430 811607 1234860 1623214 2434821 3246428 4058035 4869642 8116070 8927677 9739284 12174105 16232140 17855354 24348210 26783031 35710708 44638385 48696420 53566062 89276770 107132124 133915155 178553540 267830310 535660620 1518516697 3037033394 4555550091 6074066788 7592583485 9111100182 15185166970 16703683667 18222200364 22777750455 30370333940 33407367334 45555500910 50111051001 66814734668 83518418335 91111001820 100222102002 167036836670 200444204004 250555255005 334073673340 501110510010 1002221020020