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22001010220100 = 22523146115395011
BaseRepresentation
bin1010000000010100000100…
…11001100001110001000100
32212220021110020012212002002
411000022002121201301010
510340431032104020400
6114443042523404432
74430343354165032
oct500120231416104
985807406185062
1022001010220100
11701263778216a
122573b39983718
13c378bcc23082
14560bd6d59552
1528246b8b2ed5
hex140282661c44

22001010220100 has 72 divisors (see below), whose sum is σ = 49389169057536. Its totient is φ = 8498045520000.

The previous prime is 22001010220097. The next prime is 22001010220103. The reversal of 22001010220100 is 102201010022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22001010220097) and next prime (22001010220103).

It is not an unprimeable number, because it can be changed into a prime (22001010220103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6268406 + ... + 9126605.

Almost surely, 222001010220100 is an apocalyptic number.

22001010220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001010220100 is an abundant number, since it is smaller than the sum of its proper divisors (27388158837436).

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

22001010220100 is a wasteful number, since it uses less digits than its factorization.

22001010220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15395517 (or 15395510 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22001010220100 its reverse (102201010022), we get a palindrome (22103211230122).

The spelling of 22001010220100 in words is "twenty-two trillion, one billion, ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 461 620 775 922 1550 1844 2305 3100 4610 9220 11525 14291 23050 28582 46100 57164 71455 142910 285820 357275 714550 1429100 15395011 30790022 61580044 76975055 153950110 307900220 384875275 477245341 769750550 954490682 1539501100 1908981364 2386226705 4772453410 7097100071 9544906820 11931133525 14194200142 23862267050 28388400284 35485500355 47724534100 70971000710 141942001420 177427501775 220010102201 354855003550 440020204402 709710007100 880040408804 1100050511005 2200101022010 4400202044020 5500252555025 11000505110050 22001010220100