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11021323100985 = 3256125409158017
BaseRepresentation
bin1010000001100001101000…
…0011000110001100111001
31110000121221221211102220100
42200120122003012030321
52421033132203212420
635235043111350013
72215156442433441
oct240303203061471
943017857742810
1011021323100985
11356a13162431a
1212a000a982309
1361c3c9c64682
142a1613473121
15141a5367a190
hexa061a0c6339

11021323100985 has 48 divisors (see below), whose sum is σ = 19417687969680. Its totient is φ = 5781413560320.

The previous prime is 11021323100927. The next prime is 11021323100993. The reversal of 11021323100985 is 58900132312011.

It can be written as a sum of positive squares in 8 ways, for example, as 3075824962809 + 7945498138176 = 1753803^2 + 2818776^2 .

It is not a de Polignac number, because 11021323100985 - 210 = 11021323099961 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 69668697 + ... + 69826713.

It is an arithmetic number, because the mean of its divisors is an integer number (404535166035).

Almost surely, 211021323100985 is an apocalyptic number.

11021323100985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11021323100985 is a deficient number, since it is larger than the sum of its proper divisors (8396364868695).

11021323100985 is a wasteful number, since it uses less digits than its factorization.

11021323100985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183498 (or 183495 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 11021323100985 its reverse (58900132312011), we get a palindrome (69921455412996).

The spelling of 11021323100985 in words is "eleven trillion, twenty-one billion, three hundred twenty-three million, one hundred thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 61 183 305 549 915 2745 25409 76227 127045 158017 228681 381135 474051 790085 1143405 1422153 1549949 2370255 4649847 7110765 7749745 9639037 13949541 23249235 28917111 48195185 69747705 86751333 144585555 433756665 4015053953 12045161859 20075269765 36135485577 60225809295 180677427885 244918291133 734754873399 1224591455665 2204264620197 3673774366995 11021323100985