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11103121211424 = 2531170114999029
BaseRepresentation
bin1010000110010010010110…
…0110001000000000100000
31110022110002121101222201020
42201210211212020000200
52423403143012231144
635340411541005440
72224113460052514
oct241444546100040
943273077358636
1011103121211424
1135a0897514390
1212b3a389b3880
13627034777458
142a5572d52144
15143c3e92c419
hexa1925988020

11103121211424 has 96 divisors (see below), whose sum is σ = 31840660837440. Its totient is φ = 3359782272000.

The previous prime is 11103121211407. The next prime is 11103121211437. The reversal of 11103121211424 is 42411212130111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11103121211394 and 11103121211403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6759259 + ... + 8239770.

It is an arithmetic number, because the mean of its divisors is an integer number (331673550390).

Almost surely, 211103121211424 is an apocalyptic number.

It is an amenable number.

11103121211424 is an abundant number, since it is smaller than the sum of its proper divisors (20737539626016).

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

11103121211424 is a wasteful number, since it uses less digits than its factorization.

11103121211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14999754 (or 14999746 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 11103121211424 its reverse (42411212130111), we get a palindrome (53514333341535).

The spelling of 11103121211424 in words is "eleven trillion, one hundred three billion, one hundred twenty-one million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 701 1056 1402 2103 2804 4206 5608 7711 8412 11216 15422 16824 22432 23133 30844 33648 46266 61688 67296 92532 123376 185064 246752 370128 740256 14999029 29998058 44997087 59996116 89994174 119992232 164989319 179988348 239984464 329978638 359976696 479968928 494967957 659957276 719953392 989935914 1319914552 1439906784 1979871828 2639829104 3959743656 5279658208 7919487312 10514319329 15838974624 21028638658 31542957987 42057277316 63085915974 84114554632 115657512619 126171831948 168229109264 231315025238 252343663896 336458218528 346972537857 462630050476 504687327792 693945075714 925260100952 1009374655584 1387890151428 1850520201904 2775780302856 3701040403808 5551560605712 11103121211424