Search a number
-
+
1103314231224 = 233231149272697
BaseRepresentation
bin10000000011100010101…
…001110001111110111000
310220110211212101011021100
4100003202221301332320
5121034041420344344
62202504445011400
7142466104141152
oct20034251617670
93813755334240
101103314231224
11395a05135a67
121599b5853b60
138007160103a
143b587709ad2
151da76915569
hex100e2a71fb8

1103314231224 has 48 divisors (see below), whose sum is σ = 2997750946320. Its totient is φ = 366588858240.

The previous prime is 1103314231223. The next prime is 1103314231277. The reversal of 1103314231224 is 4221324133011.

1103314231224 is a `hidden beast` number, since 1 + 10 + 3 + 3 + 1 + 423 + 1 + 224 = 666.

It is a super-2 number, since 2×11033142312242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103314231223) 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 11 ways as a sum of consecutive naturals, for example, 24613957 + ... + 24658740.

It is an arithmetic number, because the mean of its divisors is an integer number (62453144715).

Almost surely, 21103314231224 is an apocalyptic number.

It is an amenable number.

1103314231224 is an abundant number, since it is smaller than the sum of its proper divisors (1894436715096).

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

1103314231224 is a wasteful number, since it uses less digits than its factorization.

1103314231224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49273020 (or 49273013 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1103314231224 its reverse (4221324133011), we get a palindrome (5324638364235).

The spelling of 1103314231224 in words is "one trillion, one hundred three billion, three hundred fourteen million, two hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 311 622 933 1244 1866 2488 2799 3732 5598 7464 11196 22392 49272697 98545394 147818091 197090788 295636182 394181576 443454273 591272364 886908546 1182544728 1773817092 3547634184 15323808767 30647617534 45971426301 61295235068 91942852602 122590470136 137914278903 183885705204 275828557806 367771410408 551657115612 1103314231224