Search a number
-
+
1130032212 = 22329313109
BaseRepresentation
bin100001101011010…
…1110110001010100
32220202100120202220
41003112232301110
54303242012322
6304044302340
740001054361
oct10326566124
92822316686
101130032212
1152a967a21
122765419b0
1315016751a
14aa119468
156931955c
hex435aec54

1130032212 has 96 divisors (see below), whose sum is σ = 2844441600. Its totient is φ = 348727680.

The previous prime is 1130032187. The next prime is 1130032213. The reversal of 1130032212 is 2122300311.

It is a super-2 number, since 2×11300322122 = 2553945600315225888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130032191 and 1130032200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130032213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10367214 + ... + 10367322.

It is an arithmetic number, because the mean of its divisors is an integer number (29629600).

Almost surely, 21130032212 is an apocalyptic number.

1130032212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130032212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422220800).

1130032212 is an abundant number, since it is smaller than the sum of its proper divisors (1714409388).

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

1130032212 is a wasteful number, since it uses less digits than its factorization.

1130032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1130032212 is about 33615.9517491324. The cubic root of 1130032212 is about 1041.5903343774.

Adding to 1130032212 its reverse (2122300311), we get a palindrome (3252332523).

The spelling of 1130032212 in words is "one billion, one hundred thirty million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 109 116 124 174 186 218 327 348 372 436 654 899 961 1308 1798 1922 2697 2883 3161 3379 3596 3844 5394 5766 6322 6758 9483 10137 10788 11532 12644 13516 18966 20274 27869 29791 37932 40548 55738 59582 83607 89373 97991 104749 111476 119164 167214 178746 195982 209498 293973 314247 334428 357492 391964 418996 587946 628494 863939 1175892 1256988 1727878 2591817 3037721 3247219 3455756 5183634 6075442 6494438 9113163 9741657 10367268 12150884 12988876 18226326 19483314 36452652 38966628 94169351 188338702 282508053 376677404 565016106 1130032212