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11022311312 = 241979458957
BaseRepresentation
bin10100100001111101…
…10001111110010000
31001110011102102121022
422100332301332100
5140033202430222
65021422215012
7540100046255
oct122076617620
931404372538
1011022311312
1147468976a1
122177424468
131068739acc
14767c3b42c
154479ea042
hex290fb1f90

11022311312 has 40 divisors (see below), whose sum is σ = 22764316800. Its totient is φ = 5154993792.

The previous prime is 11022311269. The next prime is 11022311317. The reversal of 11022311312 is 21311322011.

11022311312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×110223113123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11022311317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205463 + ... + 253494.

It is an arithmetic number, because the mean of its divisors is an integer number (569107920).

Almost surely, 211022311312 is an apocalyptic number.

It is an amenable number.

11022311312 is an abundant number, since it is smaller than the sum of its proper divisors (11742005488).

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

11022311312 is a wasteful number, since it uses less digits than its factorization.

11022311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459063 (or 459057 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11022311312 its reverse (21311322011), we get a palindrome (32333633323).

The spelling of 11022311312 in words is "eleven billion, twenty-two million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 632 1264 1501 3002 6004 12008 24016 458957 917914 1835828 3671656 7343312 8720183 17440366 34880732 36257603 69761464 72515206 139522928 145030412 290060824 580121648 688894457 1377788914 2755577828 5511155656 11022311312