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20112132200 = 23521729203977
BaseRepresentation
bin10010101110110001…
…101100100001101000
31220220122112011201012
4102232301230201220
5312142201212300
613123412443052
71311253205636
oct225661544150
956818464635
1020112132200
118590857666
123a93619488
131b869a8654
14d8b154356
157caa1a435
hex4aec6c868

20112132200 has 96 divisors (see below), whose sum is σ = 51218875800. Its totient is φ = 7310499840.

The previous prime is 20112132199. The next prime is 20112132211. The reversal of 20112132200 is 223121102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9349729636 + 10762402564 = 96694^2 + 103742^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3389 + ... + 200588.

Almost surely, 220112132200 is an apocalyptic number.

20112132200 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 20112132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25609437900).

20112132200 is an abundant number, since it is smaller than the sum of its proper divisors (31106743600).

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

20112132200 is a wasteful number, since it uses less digits than its factorization.

20112132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204039 (or 204030 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20112132200 its reverse (223121102), we get a palindrome (20335253302).

The spelling of 20112132200 in words is "twenty billion, one hundred twelve million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 136 145 170 200 232 290 340 425 493 580 680 725 850 986 1160 1450 1700 1972 2465 2900 3400 3944 4930 5800 9860 12325 19720 24650 49300 98600 203977 407954 815908 1019885 1631816 2039770 3467609 4079540 5099425 5915333 6935218 8159080 10198850 11830666 13870436 17338045 20397700 23661332 27740872 29576665 34676090 40795400 47322664 59153330 69352180 86690225 100560661 118306660 138704360 147883325 173380450 201121322 236613320 295766650 346760900 402242644 502803305 591533300 693521800 804485288 1005606610 1183066600 2011213220 2514016525 4022426440 5028033050 10056066100 20112132200