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20221101000 = 2332532246789
BaseRepresentation
bin10010110101010001…
…011000001111001000
31221012020120100210200
4102311101120033020
5312403100213000
613142304212200
71314045344142
oct226521301710
957166510720
1020221101000
118637314521
123b0400a060
131ba343c529
14d9b7dbc92
157d5392500
hex4b54583c8

20221101000 has 96 divisors (see below), whose sum is σ = 68347351800. Its totient is φ = 5392291200.

The previous prime is 20221100983. The next prime is 20221101001. The reversal of 20221101000 is 10112202.

It can be written as a sum of positive squares in 4 ways, for example, as 2928324996 + 17292776004 = 54114^2 + 131502^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20221101001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114395 + ... + 1132394.

Almost surely, 220221101000 is an apocalyptic number.

20221101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221101000 is an abundant number, since it is smaller than the sum of its proper divisors (48126250800).

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

20221101000 is a wasteful number, since it uses less digits than its factorization.

20221101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246816 (or 2246799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20221101000 its reverse (10112202), we get a palindrome (20231213202).

The spelling of 20221101000 in words is "twenty billion, two hundred twenty-one million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 2246789 4493578 6740367 8987156 11233945 13480734 17974312 20221101 22467890 26961468 33701835 40442202 44935780 53922936 56169725 67403670 80884404 89871560 101105505 112339450 134807340 161768808 168509175 202211010 224678900 269614680 280848625 337018350 404422020 449357800 505527525 561697250 674036700 808844040 842545875 1011055050 1123394500 1348073400 1685091750 2022110100 2246789000 2527637625 3370183500 4044220200 5055275250 6740367000 10110550500 20221101000