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202011220000 = 255414967789
BaseRepresentation
bin1011110000100011001…
…1101001100000100000
3201022102111202020200001
42330020303221200200
511302204333020000
6232445213305344
720411012016112
oct2741063514040
9638374666601
10202011220000
1178744081597
1233199195254
1316084bc4495
149ac525b3b2
1553c4d0146a
hex2f08ce9820

202011220000 has 120 divisors (see below), whose sum is σ = 500320705500. Its totient is φ = 80260992000.

The previous prime is 202011219979. The next prime is 202011220027. The reversal of 202011220000 is 22110202.

It can be written as a sum of positive squares in 10 ways, for example, as 11786142096 + 190225077904 = 108564^2 + 436148^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2946106 + ... + 3013894.

Almost surely, 2202011220000 is an apocalyptic number.

202011220000 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 202011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250160352750).

202011220000 is an abundant number, since it is smaller than the sum of its proper divisors (298309485500).

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

202011220000 is an equidigital number, since it uses as much as digits as its factorization.

202011220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67968 (or 67945 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202011220000 its reverse (22110202), we get a palindrome (202033330202).

The spelling of 202011220000 in words is "two hundred two billion, eleven million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 149 160 200 250 298 400 500 596 625 745 800 1000 1192 1250 1490 2000 2384 2500 2980 3725 4000 4768 5000 5960 7450 10000 11920 14900 18625 20000 23840 29800 37250 59600 67789 74500 93125 119200 135578 149000 186250 271156 298000 338945 372500 542312 596000 677890 745000 1084624 1355780 1490000 1694725 2169248 2711560 2980000 3389450 5423120 6778900 8473625 10100561 10846240 13557800 16947250 20201122 27115600 33894500 40402244 42368125 50502805 54231200 67789000 80804488 84736250 101005610 135578000 161608976 169472500 202011220 252514025 271156000 323217952 338945000 404022440 505028050 677890000 808044880 1010056100 1262570125 1355780000 1616089760 2020112200 2525140250 4040224400 5050280500 6312850625 8080448800 10100561000 12625701250 20201122000 25251402500 40402244000 50502805000 101005610000 202011220000