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1130323103200 = 255213727193793
BaseRepresentation
bin10000011100101100100…
…000011100110111100000
311000001120011100000101001
4100130230200130313200
5122004400203300300
62223132510521344
7144443313565144
oct20345440346740
94001504300331
101130323103200
113a6404a19265
12163092b06254
1382787099ba5
143c9ca7bb224
151e607b4e16a
hex1072c81cde0

1130323103200 has 144 divisors (see below), whose sum is σ = 2781298235520. Its totient is φ = 448545669120.

The previous prime is 1130323103177. The next prime is 1130323103251. The reversal of 1130323103200 is 23013230311.

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 23 ways as a sum of consecutive naturals, for example, 298000504 + ... + 298004296.

It is an arithmetic number, because the mean of its divisors is an integer number (19314571080).

Almost surely, 21130323103200 is an apocalyptic number.

1130323103200 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 1130323103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390649117760).

1130323103200 is an abundant number, since it is smaller than the sum of its proper divisors (1650975132320).

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

1130323103200 is a wasteful number, since it uses less digits than its factorization.

1130323103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1130323103200 its reverse (23013230311), we get a palindrome (1153336333511).

The spelling of 1130323103200 in words is "one trillion, one hundred thirty billion, three hundred twenty-three million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 137 160 200 274 400 548 685 800 1096 1370 2192 2719 2740 3425 3793 4384 5438 5480 6850 7586 10876 10960 13595 13700 15172 18965 21752 21920 27190 27400 30344 37930 43504 54380 54800 60688 67975 75860 87008 94825 108760 109600 121376 135950 151720 189650 217520 271900 303440 372503 379300 435040 519641 543800 606880 745006 758600 1039282 1087600 1490012 1517200 1862515 2078564 2175200 2598205 2980024 3034400 3725030 4157128 5196410 5960048 7450060 8314256 9312575 10313167 10392820 11920096 12991025 14900120 16628512 18625150 20626334 20785640 25982050 29800240 37250300 41252668 41571280 51565835 51964100 59600480 74500600 82505336 83142560 103131670 103928200 149001200 165010672 206263340 207856400 257829175 298002400 330021344 412526680 415712800 515658350 825053360 1031316700 1412903879 1650106720 2062633400 2825807758 4125266800 5651615516 7064519395 8250533600 11303231032 14129038790 22606462064 28258077580 35322596975 45212924128 56516155160 70645193950 113032310320 141290387900 226064620640 282580775800 565161551600 1130323103200