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22012310100 = 223521137180281
BaseRepresentation
bin10100100000000010…
…010011001001010100
32002211002001012202110
4110200002103021110
5330040122410400
614040132111020
71406325356124
oct244002231124
962732035673
1022012310100
119376414420
124323a65470
1320ca572181
1410cb666c84
1588c760e50
hex520093254

22012310100 has 144 divisors (see below), whose sum is σ = 71357057856. Its totient is φ = 5192064000.

The previous prime is 22012310087. The next prime is 22012310101. The reversal of 22012310100 is 101321022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012310101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31960 + ... + 212240.

It is an arithmetic number, because the mean of its divisors is an integer number (495535124).

Almost surely, 222012310100 is an apocalyptic number.

22012310100 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 22012310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35678528928).

22012310100 is an abundant number, since it is smaller than the sum of its proper divisors (49344747756).

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

22012310100 is a wasteful number, since it uses less digits than its factorization.

22012310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180346 (or 180339 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22012310100 its reverse (101321022), we get a palindrome (22113631122).

The spelling of 22012310100 in words is "twenty-two billion, twelve million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 180281 360562 540843 721124 901405 1081686 1802810 1983091 2163372 2704215 3605620 3966182 4507025 5408430 5949273 6670397 7932364 9014050 9915455 10816860 11898546 13340794 13521075 18028100 19830910 20011191 23797092 26681588 27042150 29746365 33351985 39661820 40022382 49577275 54084300 59492730 66703970 73374367 80044764 99154550 100055955 118985460 133407940 146748734 148731825 166759925 198309100 200111910 220123101 293497468 297463650 333519850 366871835 400223820 440246202 500279775 594927300 667039700 733743670 880492404 1000559550 1100615505 1467487340 1834359175 2001119100 2201231010 3668718350 4402462020 5503077525 7337436700 11006155050 22012310100