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1130219310 = 2351123433463
BaseRepresentation
bin100001101011101…
…1100011100101110
32220202201002102110
41003113130130232
54303314004220
6304052304450
740002464013
oct10327343456
92822632373
101130219310
1152aa85550
12276612126
1315020172c
14aa16770a
1569354be0
hex435dc72e

1130219310 has 128 divisors (see below), whose sum is σ = 3160498176. Its totient is φ = 255911040.

The previous prime is 1130219303. The next prime is 1130219317. The reversal of 1130219310 is 139120311.

It is an interprime number because it is at equal distance from previous prime (1130219303) and next prime (1130219317).

It is a super-2 number, since 2×11302193102 = 2554791377393752200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130219317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324639 + ... + 328101.

It is an arithmetic number, because the mean of its divisors is an integer number (24691392).

Almost surely, 21130219310 is an apocalyptic number.

1130219310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130219310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580249088).

1130219310 is an abundant number, since it is smaller than the sum of its proper divisors (2030278866).

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

1130219310 is a wasteful number, since it uses less digits than its factorization.

1130219310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550.

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 1130219310 is about 33618.7345091989. The cubic root of 1130219310 is about 1041.6478161353.

Adding to 1130219310 its reverse (139120311), we get a palindrome (1269339621).

The spelling of 1130219310 in words is "one billion, one hundred thirty million, two hundred nineteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 43 46 55 66 69 86 110 115 129 138 165 215 230 253 258 330 345 430 473 506 645 690 759 946 989 1265 1290 1419 1518 1978 2365 2530 2838 2967 3463 3795 4730 4945 5934 6926 7095 7590 9890 10389 10879 14190 14835 17315 20778 21758 29670 32637 34630 38093 51945 54395 65274 76186 79649 103890 108790 114279 148909 159298 163185 190465 228558 238947 297818 326370 380930 398245 446727 477894 571395 744545 796490 876139 893454 1142790 1194735 1489090 1637999 1752278 2233635 2389470 2628417 3275998 3424907 4380695 4467270 4913997 5256834 6849814 8189995 8761390 9827994 10274721 13142085 16379990 17124535 20549442 24569985 26284170 34249070 37673977 49139970 51373605 75347954 102747210 113021931 188369885 226043862 376739770 565109655 1130219310