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202011211000 = 235319101105269
BaseRepresentation
bin1011110000100011001…
…1100111010011111000
3201022102111201210022201
42330020303213103320
511302204332223000
6232445213155544
720411011650634
oct2741063472370
9638374653281
10202011211000
1178744075855
123319918bbb4
1316084bc0361
149ac5257dc4
1553c4ced96a
hex2f08ce74f8

202011211000 has 128 divisors (see below), whose sum is σ = 502516872000. Its totient is φ = 75792960000.

The previous prime is 202011210959. The next prime is 202011211007. The reversal of 202011211000 is 112110202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202011211007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866366 + ... + 1971634.

Almost surely, 2202011211000 is an apocalyptic number.

202011211000 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 202011211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251258436000).

202011211000 is an abundant number, since it is smaller than the sum of its proper divisors (300505661000).

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

202011211000 is a wasteful number, since it uses less digits than its factorization.

202011211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105410 (or 105396 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202011211000 its reverse (112110202), we get a palindrome (202123321202).

The spelling of 202011211000 in words is "two hundred two billion, eleven million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 101 125 152 190 200 202 250 380 404 475 500 505 760 808 950 1000 1010 1900 1919 2020 2375 2525 3800 3838 4040 4750 5050 7676 9500 9595 10100 12625 15352 19000 19190 20200 25250 38380 47975 50500 76760 95950 101000 105269 191900 210538 239875 383800 421076 479750 526345 842152 959500 1052690 1919000 2000111 2105380 2631725 4000222 4210760 5263450 8000444 10000555 10526900 10632169 13158625 16000888 20001110 21053800 21264338 26317250 40002220 42528676 50002775 52634500 53160845 80004440 85057352 100005550 105269000 106321690 200011100 202011211 212643380 250013875 265804225 400022200 404022422 425286760 500027750 531608450 808044844 1000055500 1010056055 1063216900 1329021125 1616089688 2000111000 2020112110 2126433800 2658042250 4040224220 5050280275 5316084500 8080448440 10100560550 10632169000 20201121100 25251401375 40402242200 50502802750 101005605500 202011211000