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203122111000 = 2353431471281
BaseRepresentation
bin1011110100101100000…
…1010111001000011000
3201102021221002100122011
42331023001113020120
511311443230023000
6233151335435304
720450361312304
oct2751301271030
9642257070564
10203122111000
1179164155426
1233449225b34
13162010b9433
149b8c9d2d04
15543c5d92ba
hex2f4b057218

203122111000 has 64 divisors (see below), whose sum is σ = 476409548160. Its totient is φ = 81060160000.

The previous prime is 203122110979. The next prime is 203122111001. The reversal of 203122111000 is 111221302.

203122111000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203122111001) 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 15 ways as a sum of consecutive naturals, for example, 195360 + ... + 666640.

It is an arithmetic number, because the mean of its divisors is an integer number (7443899190).

Almost surely, 2203122111000 is an apocalyptic number.

203122111000 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 203122111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238204774080).

203122111000 is an abundant number, since it is smaller than the sum of its proper divisors (273287437160).

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

203122111000 is a wasteful number, since it uses less digits than its factorization.

203122111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471733 (or 471719 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 203122111000 its reverse (111221302), we get a palindrome (203233332302).

It can be divided in two parts, 20312 and 2111000, that added together give a palindrome (2131312).

The spelling of 203122111000 in words is "two hundred three billion, one hundred twenty-two million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 431 500 862 1000 1724 2155 3448 4310 8620 10775 17240 21550 43100 53875 86200 107750 215500 431000 471281 942562 1885124 2356405 3770248 4712810 9425620 11782025 18851240 23564050 47128100 58910125 94256200 117820250 203122111 235640500 406244222 471281000 812488444 1015610555 1624976888 2031221110 4062442220 5078052775 8124884440 10156105550 20312211100 25390263875 40624422200 50780527750 101561055500 203122111000