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10221222110120 = 2357937233316699
BaseRepresentation
bin1001010010111101000001…
…0100000010001110101000
31100012010202112122211111022
42110233100110002032220
52314431030330010440
633423321542352012
72103313261301420
oct224572024021650
940163675584438
1010221222110120
1132908834616aa
121190b3672b608
13591b1b0b84b8
142749d193d480
1512ad26589cb5
hex94bd05023a8

10221222110120 has 128 divisors (see below), whose sum is σ = 26324047008000. Its totient is φ = 3498968918016.

The previous prime is 10221222110119. The next prime is 10221222110129. The reversal of 10221222110120 is 2101122212201.

It is not an unprimeable number, because it can be changed into a prime (10221222110129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612077531 + ... + 612094229.

It is an arithmetic number, because the mean of its divisors is an integer number (205656617250).

Almost surely, 210221222110120 is an apocalyptic number.

10221222110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221222110120 is an abundant number, since it is smaller than the sum of its proper divisors (16102824897880).

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

10221222110120 is a wasteful number, since it uses less digits than its factorization.

10221222110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19987 (or 19983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10221222110120 its reverse (2101122212201), we get a palindrome (12322344322321).

The spelling of 10221222110120 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 937 1874 2333 3748 4666 4685 6559 7496 9332 9370 11665 13118 16331 16699 18664 18740 23330 26236 32662 32795 33398 37480 46660 52472 65324 65590 66796 81655 83495 93320 116893 130648 131180 133592 163310 166990 233786 262360 326620 333980 467572 584465 653240 667960 935144 1168930 2186021 2337860 4372042 4675720 8744084 10930105 15302147 15646963 17488168 21860210 30604294 31293926 38958767 43720420 61208588 62587852 76510735 77917534 78234815 87440840 109528741 122417176 125175704 153021470 155835068 156469630 194793835 219057482 272711369 306042940 311670136 312939260 389587670 438114964 545422738 547643705 612085880 625878520 779175340 876229928 1090845476 1095287410 1363556845 1558350680 2181690952 2190574820 2727113690 4381149640 5454227380 10908454760 36504364679 73008729358 146017458716 182521823395 255530552753 292034917432 365043646790 511061105506 730087293580 1022122211012 1277652763765 1460174587160 2044244422024 2555305527530 5110611055060 10221222110120