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20112212340 = 223251111389891
BaseRepresentation
bin10010101110110010…
…000000000101110100
31220220122200020122100
4102232302000011310
5312142211243330
613123414302100
71311253661403
oct225662000564
956818606570
1020112212340
1185909018a0
123a93657930
131b86a05c7c
14d8b17563a
157caa34060
hex4aec80174

20112212340 has 144 divisors (see below), whose sum is σ = 67142851776. Its totient is φ = 4832486400.

The previous prime is 20112212311. The next prime is 20112212357. The reversal of 20112212340 is 4321221102.

It is a happy number.

20112212340 is a `hidden beast` number, since 2 + 0 + 112 + 212 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178795 + ... + 268685.

It is an arithmetic number, because the mean of its divisors is an integer number (466269804).

Almost surely, 220112212340 is an apocalyptic number.

20112212340 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 20112212340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33571425888).

20112212340 is an abundant number, since it is smaller than the sum of its proper divisors (47030639436).

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

20112212340 is a wasteful number, since it uses less digits than its factorization.

20112212340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90030 (or 90025 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20112212340 its reverse (4321221102), we get a palindrome (24433433442).

It can be divided in two parts, 2011221 and 2340, that added together give a square (2013561 = 14192).

The spelling of 20112212340 in words is "twenty billion, one hundred twelve million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 113 132 165 180 198 220 226 330 339 396 452 495 565 660 678 990 1017 1130 1243 1356 1695 1980 2034 2260 2486 3390 3729 4068 4972 5085 6215 6780 7458 10170 11187 12430 14916 18645 20340 22374 24860 37290 44748 55935 74580 89891 111870 179782 223740 269673 359564 449455 539346 809019 898910 988801 1078692 1348365 1618038 1797820 1977602 2696730 2966403 3236076 3955204 4045095 4944005 5393460 5932806 8090190 8899209 9888010 10157683 11865612 14832015 16180380 17798418 19776020 20315366 29664030 30473049 35596836 40630732 44496045 50788415 59328060 60946098 88992090 91419147 101576830 111734513 121892196 152365245 177984180 182838294 203153660 223469026 304730490 335203539 365676588 446938052 457095735 558672565 609460980 670407078 914191470 1005610617 1117345130 1340814156 1676017695 1828382940 2011221234 2234690260 3352035390 4022442468 5028053085 6704070780 10056106170 20112212340