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20121320233100 = 22521815077218963
BaseRepresentation
bin1001001001100110111000…
…01001010001100010001100
32122020120122101212220111102
410210303130021101202030
510114131430434424400
6110443335031442232
74144501034004242
oct444633411214214
978216571786442
1020121320233100
116458449789899
12230b791526378
13b2c580b6b608
144d7c3ca70792
1524d605bc69d5
hex124cdc25188c

20121320233100 has 72 divisors (see below), whose sum is σ = 43913346688848. Its totient is φ = 8002448006400.

The previous prime is 20121320233097. The next prime is 20121320233127. The reversal of 20121320233100 is 133202312102.

It is a super-2 number, since 2×201213202331002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 91784219 + ... + 92003181.

Almost surely, 220121320233100 is an apocalyptic number.

20121320233100 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 20121320233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21956673344424).

20121320233100 is an abundant number, since it is smaller than the sum of its proper divisors (23792026455748).

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

20121320233100 is a wasteful number, since it uses less digits than its factorization.

20121320233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224235 (or 224228 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20121320233100 its reverse (133202312102), we get a palindrome (20254522545202).

The spelling of 20121320233100 in words is "twenty trillion, one hundred twenty-one billion, three hundred twenty million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 5077 9050 10154 18100 20308 25385 50770 101540 126925 218963 253850 437926 507700 875852 918937 1094815 1837874 2189630 3675748 4379260 4594685 5474075 9189370 10948150 18378740 21896300 22973425 39632303 45946850 79264606 91893700 158529212 198161515 396323030 792646060 990807575 1111675151 1981615150 2223350302 3963230300 4446700604 5558375755 11116751510 22233503020 27791878775 55583757550 111167515100 201213202331 402426404662 804852809324 1006066011655 2012132023310 4024264046620 5030330058275 10060660116550 20121320233100