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10222331213100 = 223521371931288697
BaseRepresentation
bin1001010011000001001001…
…1010111011010100101100
31100012020121211122002202110
42110300102122323110230
52314440313242304400
633424024002324020
72103352616436666
oct224602232732454
940166554562673
1010222331213100
1132912a2524136
1211911a6059610
13591c66b05656
14274a98d6b536
1512ad8db1ce50
hex94c126bb52c

10222331213100 has 144 divisors (see below), whose sum is σ = 29946887839008. Its totient is φ = 2692034396160.

The previous prime is 10222331213077. The next prime is 10222331213119. The reversal of 10222331213100 is 131213322201.

It is a super-2 number, since 2×102223312131002 (a number of 27 digits) contains 22 as substring.

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, 7287952 + ... + 8576648.

It is an arithmetic number, because the mean of its divisors is an integer number (207964498882).

Almost surely, 210222331213100 is an apocalyptic number.

10222331213100 is a gapful number since it is divisible by the number (10) 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 10222331213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14973443919504).

10222331213100 is an abundant number, since it is smaller than the sum of its proper divisors (19724556625908).

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

10222331213100 is a wasteful number, since it uses less digits than its factorization.

10222331213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289044 (or 1289037 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10222331213100 its reverse (131213322201), we get a palindrome (10353544535301).

The spelling of 10222331213100 in words is "ten trillion, two hundred twenty-two billion, three hundred thirty-one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 193 274 300 386 411 548 579 685 772 822 965 1158 1370 1644 1930 2055 2316 2740 2895 3425 3860 4110 4825 5790 6850 8220 9650 10275 11580 13700 14475 19300 20550 26441 28950 41100 52882 57900 79323 105764 132205 158646 264410 317292 396615 528820 661025 793230 1288697 1322050 1586460 1983075 2577394 2644100 3866091 3966150 5154788 6443485 7732182 7932300 12886970 15464364 19330455 25773940 32217425 38660910 64434850 77321820 96652275 128869700 176551489 193304550 248718521 353102978 386609100 497437042 529654467 706205956 746155563 882757445 994874084 1059308934 1243592605 1492311126 1765514890 2118617868 2487185210 2648272335 2984622252 3531029780 3730777815 4413787225 4974370420 5296544670 6217963025 7461555630 8827574450 10593089340 12435926050 13241361675 14923111260 17655148900 18653889075 24871852100 26482723350 34074437377 37307778150 52965446700 68148874754 74615556300 102223312131 136297749508 170372186885 204446624262 340744373770 408893248524 511116560655 681488747540 851860934425 1022233121310 1703721868850 2044466242620 2555582803275 3407443737700 5111165606550 10222331213100