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1130302302320 = 24579743240707
BaseRepresentation
bin10000011100101011010…
…001000110100001110000
311000001111201012012221002
4100130223101012201300
5122004324342133240
62223130445021132
7144442642022162
oct20345321064160
94001451165832
101130302302320
113a63a4201254
12163087b547a8
1382782996089
143c9c7b24932
151e605de0d15
hex1072b446870

1130302302320 has 80 divisors (see below), whose sum is σ = 2664810869760. Its totient is φ = 445795214592.

The previous prime is 1130302302313. The next prime is 1130302302329. The reversal of 1130302302320 is 232032030311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1130302302292 and 1130302302301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130302302329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4575407 + ... + 4816113.

It is an arithmetic number, because the mean of its divisors is an integer number (33310135872).

Almost surely, 21130302302320 is an apocalyptic number.

1130302302320 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 1130302302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332405434880).

1130302302320 is an abundant number, since it is smaller than the sum of its proper divisors (1534508567440).

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

1130302302320 is a wasteful number, since it uses less digits than its factorization.

1130302302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241542 (or 241536 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1130302302320 its reverse (232032030311), we get a palindrome (1362334332631).

The spelling of 1130302302320 in words is "one trillion, one hundred thirty billion, three hundred two million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 743 790 1264 1486 1580 2972 3160 3715 5944 6320 7430 11888 14860 29720 58697 59440 117394 234788 240707 293485 469576 481414 586970 939152 962828 1173940 1203535 1925656 2347880 2407070 3851312 4695760 4814140 9628280 19015853 19256560 38031706 76063412 95079265 152126824 178845301 190158530 304253648 357690602 380317060 715381204 760634120 894226505 1430762408 1521268240 1788453010 2861524816 3576906020 7153812040 14128778779 14307624080 28257557558 56515115116 70643893895 113030230232 141287787790 226060460464 282575575580 565151151160 1130302302320