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211100134332 = 22337584381371
BaseRepresentation
bin1100010010011010001…
…1000110101110111100
3202011212221010221012210
43010212203012232330
511424313113244312
6240551132300420
721152154351453
oct3044643065674
9664787127183
10211100134332
118158858243a
1234ab5011710
1316ba2c064b9
14a3083b9b9a
155757be2e3c
hex31268c6bbc

211100134332 has 48 divisors (see below), whose sum is σ = 505972397952. Its totient is φ = 68452349760.

The previous prime is 211100134331. The next prime is 211100134339. The reversal of 211100134332 is 233431001112.

211100134332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211100134299 and 211100134308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100134331) by changing a digit.

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, 2553607 + ... + 2634977.

It is an arithmetic number, because the mean of its divisors is an integer number (10541091624).

Almost surely, 2211100134332 is an apocalyptic number.

It is an amenable number.

211100134332 is an abundant number, since it is smaller than the sum of its proper divisors (294872263620).

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

211100134332 is a wasteful number, since it uses less digits than its factorization.

211100134332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87258 (or 87256 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211100134332 its reverse (233431001112), we get a palindrome (444531135444).

The spelling of 211100134332 in words is "two hundred eleven billion, one hundred million, one hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 5843 11686 17529 23372 35058 70116 81371 162742 216191 244113 325484 432382 488226 648573 864764 976452 1297146 2594292 3010727 6021454 9032181 12042908 18064362 36128724 475450753 950901506 1426352259 1901803012 2852704518 5705409036 17591677861 35183355722 52775033583 70366711444 105550067166 211100134332