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202050881000 = 23531949103669
BaseRepresentation
bin1011110000101100101…
…0111100010111101000
3201022112021101020022222
42330023022330113220
511302300011143000
6232453151333212
720412003102623
oct2741312742750
9638467336288
10202050881000
1178764500481
12331aa521208
131609019c927
149aca622dba
1553c8537a85
hex2f0b2bc5e8

202050881000 has 64 divisors (see below), whose sum is σ = 473046210000. Its totient is φ = 80778105600.

The previous prime is 202050880973. The next prime is 202050881003. The reversal of 202050881000 is 188050202.

It can be written as a sum of positive squares in 8 ways, for example, as 40329475684 + 161721405316 = 200822^2 + 402146^2 .

It is a super-2 number, since 2×2020508810002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202050881003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1897166 + ... + 2000834.

Almost surely, 2202050881000 is an apocalyptic number.

202050881000 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 202050881000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236523105000).

202050881000 is an abundant number, since it is smaller than the sum of its proper divisors (270995329000).

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

202050881000 is a wasteful number, since it uses less digits than its factorization.

202050881000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105639 (or 105625 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The spelling of 202050881000 in words is "two hundred two billion, fifty million, eight hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1949 3898 7796 9745 15592 19490 38980 48725 77960 97450 103669 194900 207338 243625 389800 414676 487250 518345 829352 974500 1036690 1949000 2073380 2591725 4146760 5183450 10366900 12958625 20733800 25917250 51834500 103669000 202050881 404101762 808203524 1010254405 1616407048 2020508810 4041017620 5051272025 8082035240 10102544050 20205088100 25256360125 40410176200 50512720250 101025440500 202050881000