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20022001000 = 2353312113061
BaseRepresentation
bin10010101001011001…
…110111110101101000
31220200100221000221121
4102221121313311220
5312001113013000
613110432545024
71306110125521
oct225131676550
956610830847
1020022001000
118544996771
123a693b2174
131b7110ba91
14d7d1b1848
157c2b64b1a
hex4a9677d68

20022001000 has 128 divisors (see below), whose sum is σ = 48607902720. Its totient is φ = 7711200000.

The previous prime is 20022000979. The next prime is 20022001007. The reversal of 20022001000 is 10022002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20022001007) 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, 6539470 + ... + 6542530.

It is an arithmetic number, because the mean of its divisors is an integer number (379749240).

Almost surely, 220022001000 is an apocalyptic number.

20022001000 is a gapful number since it is divisible by the number (20) 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 20022001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24303951360).

20022001000 is an abundant number, since it is smaller than the sum of its proper divisors (28585901720).

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

20022001000 is a wasteful number, since it uses less digits than its factorization.

20022001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20022001000 its reverse (10022002), we get a palindrome (20032023002).

It can be divided in two parts, 2002 and 2001000, that added together give a palindrome (2003002).

The spelling of 20022001000 in words is "twenty billion, twenty-two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 211 248 250 310 422 500 620 775 844 1000 1055 1240 1550 1688 2110 3061 3100 3875 4220 5275 6122 6200 6541 7750 8440 10550 12244 13082 15305 15500 21100 24488 26164 26375 30610 31000 32705 42200 52328 52750 61220 65410 76525 94891 105500 122440 130820 153050 163525 189782 211000 261640 306100 327050 379564 382625 474455 612200 645871 654100 759128 765250 817625 948910 1291742 1308200 1530500 1635250 1897820 2372275 2583484 3061000 3229355 3270500 3795640 4744550 5166968 6458710 6541000 9489100 11861375 12917420 16146775 18978200 20022001 23722750 25834840 32293550 40044002 47445500 64587100 80088004 80733875 94891000 100110005 129174200 160176008 161467750 200220010 322935500 400440020 500550025 645871000 800880040 1001100050 2002200100 2502750125 4004400200 5005500250 10011000500 20022001000