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1123130313 = 33175967619
BaseRepresentation
bin100001011110001…
…1001101111001001
32220021100221011000
41002330121233021
54300010132223
6303240325213
736555310254
oct10274315711
92807327130
101123130313
11526a83478
12274173809
1314b8bbb66
14a924009b
1568904543
hex42f19bc9

1123130313 has 64 divisors (see below), whose sum is σ = 1821312000. Its totient is φ = 681322752.

The previous prime is 1123130303. The next prime is 1123130363. The reversal of 1123130313 is 3130313211.

It is a happy number.

1123130313 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1123130313 - 210 = 1123129289 is a prime.

It is a super-2 number, since 2×11231303132 = 2522843399958955938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1123130303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1814118 + ... + 1814736.

It is an arithmetic number, because the mean of its divisors is an integer number (28458000).

Almost surely, 21123130313 is an apocalyptic number.

It is an amenable number.

1123130313 is a deficient number, since it is larger than the sum of its proper divisors (698181687).

1123130313 is a wasteful number, since it uses less digits than its factorization.

1123130313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1123130313 is about 33513.1364243933. The cubic root of 1123130313 is about 1039.4654282421.

Adding to 1123130313 its reverse (3130313211), we get a palindrome (4253443524).

The spelling of 1123130313 in words is "one billion, one hundred twenty-three million, one hundred thirty thousand, three hundred thirteen".

Divisors: 1 3 9 17 27 51 59 67 153 177 201 459 531 603 619 1003 1139 1593 1809 1857 3009 3417 3953 5571 9027 10251 10523 11859 16713 27081 30753 31569 35577 36521 41473 67201 94707 106731 109563 124419 201603 284121 328689 373257 604809 620857 705041 986067 1119771 1814427 1862571 2115123 2446907 5587713 6345369 7340721 16763139 19036107 22022163 41597419 66066489 124792257 374376771 1123130313