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202112043100 = 225211457402053
BaseRepresentation
bin1011110000111011010…
…0010000100001011100
3201022200112110120221221
42330032310100201130
511302411140334400
6232503214303124
720413345010032
oct2741664204134
9638615416857
10202112043100
1178795a85470
1233206ab7aa4
131609ca65816
149ad47c4552
1553cdab9c1a
hex2f0ed1085c

202112043100 has 72 divisors (see below), whose sum is σ = 479502466128. Its totient is φ = 73334284800.

The previous prime is 202112043097. The next prime is 202112043101. The reversal of 202112043100 is 1340211202.

It is a super-2 number, since 2×2021120431002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112043101) 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 23 ways as a sum of consecutive naturals, for example, 301674 + ... + 703726.

It is an arithmetic number, because the mean of its divisors is an integer number (6659756474).

Almost surely, 2202112043100 is an apocalyptic number.

202112043100 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 202112043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239751233064).

202112043100 is an abundant number, since it is smaller than the sum of its proper divisors (277390423028).

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

202112043100 is a wasteful number, since it uses less digits than its factorization.

202112043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402535 (or 402528 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 202112043100 its reverse (1340211202), we get a palindrome (203452254302).

The spelling of 202112043100 in words is "two hundred two billion, one hundred twelve million, forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 457 550 914 1100 1828 2285 4570 5027 9140 10054 11425 20108 22850 25135 45700 50270 100540 125675 251350 402053 502700 804106 1608212 2010265 4020530 4422583 8041060 8845166 10051325 17690332 20102650 22112915 40205300 44225830 88451660 110564575 183738221 221129150 367476442 442258300 734952884 918691105 1837382210 2021120431 3674764420 4042240862 4593455525 8084481724 9186911050 10105602155 18373822100 20211204310 40422408620 50528010775 101056021550 202112043100