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1130111130300 = 2235282717872549
BaseRepresentation
bin10000011100011111110…
…111110101101010111100
311000001000101110200012220
4100130133313311222330
5122003431422132200
62223055455325340
7144435131053305
oct20343767655274
94001011420186
101130111130300
113a63062a8949
12163033b20850
13827521b0039
143c9aa59d7ac
151e5e422c4a0
hex1071fdf5abc

1130111130300 has 144 divisors (see below), whose sum is σ = 3276859017600. Its totient is φ = 300712106240.

The previous prime is 1130111130277. The next prime is 1130111130319. The reversal of 1130111130300 is 30311110311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130111130300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443353426 + ... + 443355974.

It is an arithmetic number, because the mean of its divisors is an integer number (22755965400).

Almost surely, 21130111130300 is an apocalyptic number.

1130111130300 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 1130111130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638429508800).

1130111130300 is an abundant number, since it is smaller than the sum of its proper divisors (2146747887300).

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

1130111130300 is a wasteful number, since it uses less digits than its factorization.

1130111130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1130111130300 its reverse (30311110311), we get a palindrome (1160422240611).

The spelling of 1130111130300 in words is "one trillion, one hundred thirty billion, one hundred eleven million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 827 1654 1787 2481 2549 3308 3574 4135 4962 5098 5361 7148 7647 8270 8935 9924 10196 10722 12405 12745 15294 16540 17870 20675 21444 24810 25490 26805 30588 35740 38235 41350 44675 49620 50980 53610 62025 63725 76470 82700 89350 107220 124050 127450 134025 152940 178700 191175 248100 254900 268050 382350 536100 764700 1477849 2108023 2955698 4216046 4433547 4555063 5911396 6324069 7389245 8432092 8867094 9110126 10540115 12648138 13665189 14778490 17734188 18220252 21080230 22167735 22775315 25296276 27330378 29556980 31620345 36946225 42160460 44335470 45550630 52700575 54660756 63240690 68325945 73892450 88670940 91101260 105401150 110838675 113876575 126481380 136651890 147784900 158101725 210802300 221677350 227753150 273303780 316203450 341629725 443354700 455506300 632406900 683259450 1366518900 3767037101 7534074202 11301111303 15068148404 18835185505 22602222606 37670371010 45204445212 56505556515 75340742020 94175927525 113011113030 188351855050 226022226060 282527782575 376703710100 565055565150 1130111130300