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1130314140 = 2232561113911
BaseRepresentation
bin100001101011111…
…0011100110011100
32220202212220111200
41003113303212130
54303330023030
6304054315500
740003340334
oct10327634634
92822786450
101130314140
1153003a81a
12276658b90
13150235947
14aa1900c4
1569372d60
hex435f399c

1130314140 has 144 divisors (see below), whose sum is σ = 3519524736. Its totient is φ = 293529600.

The previous prime is 1130314091. The next prime is 1130314181. The reversal of 1130314140 is 414130311.

It is a super-2 number, since 2×11303141402 = 2555220110167879200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1240285 + ... + 1241195.

It is an arithmetic number, because the mean of its divisors is an integer number (24441144).

Almost surely, 21130314140 is an apocalyptic number.

1130314140 is a gapful number since it is divisible by the number (10) 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 1130314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759762368).

1130314140 is an abundant number, since it is smaller than the sum of its proper divisors (2389210596).

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

1130314140 is a wasteful number, since it uses less digits than its factorization.

1130314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1130314140 is about 33620.1448539414. The cubic root of 1130314140 is about 1041.6769481510.

Adding to 1130314140 its reverse (414130311), we get a palindrome (1544444451).

The spelling of 1130314140 in words is "one billion, one hundred thirty million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 113 122 180 183 226 244 305 339 366 452 549 565 610 678 732 911 915 1017 1098 1130 1220 1356 1695 1822 1830 2034 2196 2260 2733 2745 3390 3644 3660 4068 4555 5085 5466 5490 6780 6893 8199 9110 10170 10932 10980 13665 13786 16398 18220 20340 20679 27330 27572 32796 34465 40995 41358 54660 55571 62037 68930 81990 82716 102943 103395 111142 124074 137860 163980 166713 205886 206790 222284 248148 277855 308829 310185 333426 411772 413580 500139 514715 555710 617658 620370 666852 833565 926487 1000278 1029430 1111420 1235316 1240740 1544145 1667130 1852974 2000556 2058860 2500695 3088290 3334260 3705948 4632435 5001390 6176580 6279523 9264870 10002780 12559046 18529740 18838569 25118092 31397615 37677138 56515707 62795230 75354276 94192845 113031414 125590460 188385690 226062828 282578535 376771380 565157070 1130314140