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1130114352 = 2431031791277
BaseRepresentation
bin100001101011100…
…0010110100110000
32220202111202110010
41003113002310300
54303302124402
6304050134520
740001546013
oct10327026460
92822452403
101130114352
1152aa13704
12276581440
13150195a23
14aa13b37a
1569333a6c
hex435c2d30

1130114352 has 80 divisors (see below), whose sum is σ = 2966595840. Its totient is φ = 370672896.

The previous prime is 1130114329. The next prime is 1130114383. The reversal of 1130114352 is 2534110311.

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, 884338 + ... + 885614.

It is an arithmetic number, because the mean of its divisors is an integer number (37082448).

Almost surely, 21130114352 is an apocalyptic number.

1130114352 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 1130114352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483297920).

1130114352 is an abundant number, since it is smaller than the sum of its proper divisors (1836481488).

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

1130114352 is a wasteful number, since it uses less digits than its factorization.

1130114352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1130114352 is about 33617.1734683331. The cubic root of 1130114352 is about 1041.6155708725.

Adding to 1130114352 its reverse (2534110311), we get a palindrome (3664224663).

The spelling of 1130114352 in words is "one billion, one hundred thirty million, one hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 179 206 309 358 412 537 618 716 824 1074 1236 1277 1432 1648 2148 2472 2554 2864 3831 4296 4944 5108 7662 8592 10216 15324 18437 20432 30648 36874 55311 61296 73748 110622 131531 147496 221244 228583 263062 294992 394593 442488 457166 526124 685749 789186 884976 914332 1052248 1371498 1578372 1828664 2104496 2742996 3156744 3657328 5485992 6313488 10971984 23544049 47088098 70632147 94176196 141264294 188352392 282528588 376704784 565057176 1130114352