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20322301000 = 235329838443
BaseRepresentation
bin10010111011010011…
…011011010001001000
31221110021222212002211
4102323103123101020
5313110002113000
613200321234504
71316414464651
oct227323332110
957407885084
1020322301000
118689455591
123b31a92a34
131bbb3b32a1
14dab022528
157de1d27ba
hex4bb4db448

20322301000 has 128 divisors (see below), whose sum is σ = 49792579200. Its totient is φ = 7753132800.

The previous prime is 20322300983. The next prime is 20322301003. The reversal of 20322301000 is 10322302.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20322301003) 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 31 ways as a sum of consecutive naturals, for example, 2402779 + ... + 2411221.

It is an arithmetic number, because the mean of its divisors is an integer number (389004525).

Almost surely, 220322301000 is an apocalyptic number.

20322301000 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 20322301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24896289600).

20322301000 is an abundant number, since it is smaller than the sum of its proper divisors (29470278200).

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

20322301000 is a wasteful number, since it uses less digits than its factorization.

20322301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8562 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20322301000 its reverse (10322302), we get a palindrome (20332623302).

It can be divided in two parts, 2032 and 2301000, that added together give a palindrome (2303032).

The spelling of 20322301000 in words is "twenty billion, three hundred twenty-two million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 83 100 116 125 145 166 200 232 250 290 332 415 500 580 664 725 830 1000 1160 1450 1660 2075 2407 2900 3320 3625 4150 4814 5800 7250 8300 8443 9628 10375 12035 14500 16600 16886 19256 20750 24070 29000 33772 41500 42215 48140 60175 67544 83000 84430 96280 120350 168860 211075 240700 244847 300875 337720 422150 481400 489694 601750 700769 844300 979388 1055375 1203500 1224235 1401538 1688600 1958776 2110750 2407000 2448470 2803076 3503845 4221500 4896940 5606152 6121175 7007690 8443000 9793880 12242350 14015380 17519225 20322301 24484700 28030760 30605875 35038450 40644602 48969400 61211750 70076900 81289204 87596125 101611505 122423500 140153800 162578408 175192250 203223010 244847000 350384500 406446020 508057525 700769000 812892040 1016115050 2032230100 2540287625 4064460200 5080575250 10161150500 20322301000