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110022020202000 = 2435318337003367
BaseRepresentation
bin11001000001000001111111…
…011011100111111000010000
3112102120000001202102221112010
4121001001333123213320100
5103410100044132431000
61025555230205102520
732113554140245314
oct3101017733477020
9472500052387463
10110022020202000
1132069093154945
121040b007b57a40
13495105537779a
141d2514665db44
15cabdd29d1d50
hex64107f6e7e10

110022020202000 has 80 divisors (see below), whose sum is σ = 354710993150592. Its totient is φ = 29339205385600.

The previous prime is 110022020201959. The next prime is 110022020202011. The reversal of 110022020202000 is 202020220011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1100220202020002 (a number of 29 digits) contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 9168495684 + ... + 9168507683.

Almost surely, 2110022020202000 is an apocalyptic number.

110022020202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110022020202000 is an abundant number, since it is smaller than the sum of its proper divisors (244688972948592).

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

110022020202000 is a wasteful number, since it uses less digits than its factorization.

110022020202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18337003393 (or 18337003377 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 110022020202000 its reverse (202020220011), we get a palindrome (110224040422011).

The spelling of 110022020202000 in words is "one hundred ten trillion, twenty-two billion, twenty million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 18337003367 36674006734 55011010101 73348013468 91685016835 110022020202 146696026936 183370033670 220044040404 275055050505 293392053872 366740067340 440088080808 458425084175 550110101010 733480134680 880176161616 916850168350 1100220202020 1375275252525 1466960269360 1833700336700 2200440404040 2292125420875 2750550505050 3667400673400 4400880808080 4584250841750 5501101010100 6876376262625 7334801346800 9168501683500 11002202020200 13752752525250 18337003367000 22004404040400 27505505050500 36674006734000 55011010101000 110022020202000