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22122101110020 = 2235635374517789
BaseRepresentation
bin1010000011110101100111…
…11110100111010100000100
32220022212000021002102012220
411001322303332213110010
510344422030341010040
6115014430345412340
74442161200601362
oct501726376472404
986285007072186
1022122101110020
117059a26399aaa
1225934b2a9a0b0
13c4614a11b622
14566a0310c632
152856a75002d0
hex141eb3fa7504

22122101110020 has 96 divisors (see below), whose sum is σ = 61967902469760. Its totient is φ = 5896749619200.

The previous prime is 22122101110013. The next prime is 22122101110073. The reversal of 22122101110020 is 2001110122122.

It is a super-2 number, since 2×221221011100202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2840168286 + ... + 2840176074.

It is an arithmetic number, because the mean of its divisors is an integer number (645498984060).

Almost surely, 222122101110020 is an apocalyptic number.

22122101110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122101110020 is an abundant number, since it is smaller than the sum of its proper divisors (39845801359740).

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

22122101110020 is a wasteful number, since it uses less digits than its factorization.

22122101110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21605 (or 21603 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22122101110020 its reverse (2001110122122), we get a palindrome (24123211232142).

The spelling of 22122101110020 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 6353 7451 7789 12706 14902 15578 19059 22353 23367 25412 29804 31156 31765 37255 38118 38945 44706 46734 63530 74510 76236 77890 89412 93468 95295 111765 116835 127060 149020 155780 190590 223530 233670 381180 447060 467340 47336203 49483517 58035839 94672406 98967034 116071678 142008609 148450551 174107517 189344812 197934068 232143356 236681015 247417585 284017218 290179195 296901102 348215034 473362030 494835170 568034436 580358390 593802204 696430068 710043045 742252755 870537585 946724060 989670340 1160716780 1420086090 1484505510 1741075170 2840172180 2969011020 3482150340 368701685167 737403370334 1106105055501 1474806740668 1843508425835 2212210111002 3687016851670 4424420222004 5530525277505 7374033703340 11061050555010 22122101110020