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211100022012 = 223119419169789
BaseRepresentation
bin1100010010011010001…
…0101011010011111100
3202011212220221020010210
43010212202223103330
511424313101201022
6240551130032420
721152153403135
oct3044642532374
9664786836123
10211100022012
1181588506010
1234ab4b78710
1316ba2b97339
14a30838ac8c
155757bbea0c
hex31268ab4fc

211100022012 has 48 divisors (see below), whose sum is σ = 537405724800. Its totient is φ = 63962535360.

The previous prime is 211100021971. The next prime is 211100022059. The reversal of 211100022012 is 210220001112.

211100022012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1158414 + ... + 1328202.

It is an arithmetic number, because the mean of its divisors is an integer number (11195952600).

Almost surely, 2211100022012 is an apocalyptic number.

211100022012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211100022012 is an abundant number, since it is smaller than the sum of its proper divisors (326305702788).

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

211100022012 is a wasteful number, since it uses less digits than its factorization.

211100022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179226 (or 179224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211100022012 its reverse (210220001112), we get a palindrome (421320023124).

The spelling of 211100022012 in words is "two hundred eleven billion, one hundred million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 9419 18838 28257 37676 56514 103609 113028 169789 207218 310827 339578 414436 509367 621654 679156 1018734 1243308 1867679 2037468 3735358 5603037 7470716 11206074 22412148 1599242591 3198485182 4797727773 6396970364 9595455546 17591668501 19190911092 35183337002 52775005503 70366674004 105550011006 211100022012