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11311102123231 = 4159791011513881
BaseRepresentation
bin1010010010011001001000…
…1110010101110011011111
31111001022221011012000000211
42210212102032111303133
52440310114120420411
640020125405433251
72245125440456131
oct244462216256337
944038834160024
1011311102123231
1136710142a5769
12132820126b827
1364082b385341
142b1662d6d051
1514936387b221
hexa4992395cdf

11311102123231 has 64 divisors (see below), whose sum is σ = 12133604044800. Its totient is φ = 10531872000000.

The previous prime is 11311102123207. The next prime is 11311102123247. The reversal of 11311102123231 is 13232120111311.

It is a cyclic number.

It is not a de Polignac number, because 11311102123231 - 237 = 11173663169759 is a prime.

It is a super-2 number, since 2×113111021232312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311102123031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2914479411 + ... + 2914483291.

It is an arithmetic number, because the mean of its divisors is an integer number (189587563200).

Almost surely, 211311102123231 is an apocalyptic number.

11311102123231 is a deficient number, since it is larger than the sum of its proper divisors (822501921569).

11311102123231 is a wasteful number, since it uses less digits than its factorization.

11311102123231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 11311102123231 its reverse (13232120111311), we get a palindrome (24543222234542).

The spelling of 11311102123231 in words is "eleven trillion, three hundred eleven billion, one hundred two million, one hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 41 59 79 101 151 2419 3239 3881 4141 4661 5959 6191 7979 8909 11929 15251 159121 191101 228979 244319 306599 327139 365269 391981 470761 489089 586031 625291 703811 899809 1204829 9388139 12570559 16071221 18089341 19301201 23126879 24027271 28856251 30966499 34575829 36892169 46296449 49397989 59189131 71084911 741662981 948202039 1269626459 1417608989 1827023441 1898154409 2426754371 2731490491 2914481351 3492158729 4675941349 74907961081 111991110131 143178507889 191713595309 275880539591 11311102123231