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21122200101002 = 27111319555292079
BaseRepresentation
bin1001100110101111001010…
…01110111110000010001010
32202210021002102221020211112
410303113211032332002022
510232031231211213002
6112531223232530322
74310012544342650
oct463274516760212
982707072836745
1021122200101002
116803969336540
12245175a0b09a2
13ba2a79502240
14530469cb2dd0
152696847de852
hex1335e53be08a

21122200101002 has 64 divisors (see below), whose sum is σ = 44778753331200. Its totient is φ = 7196585330880.

The previous prime is 21122200100923. The next prime is 21122200101019. The reversal of 21122200101002 is 20010100222112.

It is a super-2 number, since 2×211222001010022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 277608002 + ... + 277684077.

It is an arithmetic number, because the mean of its divisors is an integer number (699668020800).

Almost surely, 221122200101002 is an apocalyptic number.

21122200101002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21122200101002 is an abundant number, since it is smaller than the sum of its proper divisors (23656553230198).

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

21122200101002 is a wasteful number, since it uses less digits than its factorization.

21122200101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555292131.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21122200101002 its reverse (20010100222112), we get a palindrome (41132300323114).

The spelling of 21122200101002 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred million, one hundred one thousand, two".

Divisors: 1 2 7 11 13 14 19 22 26 38 77 91 133 143 154 182 209 247 266 286 418 494 1001 1463 1729 2002 2717 2926 3458 5434 19019 38038 555292079 1110584158 3887044553 6108212869 7218797027 7774089106 10550549501 12216425738 14437594054 21101099002 42757490083 50531579189 73853846507 79406767297 85514980166 101063158378 116056044511 137157143513 147707693014 158813534594 232112089022 274314287026 555847371079 812392311577 960100004591 1111694742158 1508728578643 1624784623154 1920200009182 3017457157286 10561100050501 21122200101002