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1130023302100 = 2252711154395111
BaseRepresentation
bin10000011100011010101…
…000110011001111010100
311000000210021012112120121
4100130122220303033110
5122003241431131400
62223043041041324
7144433013404360
oct20343250631724
94000707175517
101130023302100
113a6270770260
1216300a626244
1382739c3b7a4
143c99ca5a2a0
151e5db67e21a
hex1071aa333d4

1130023302100 has 144 divisors (see below), whose sum is σ = 3059240196096. Its totient is φ = 351983088000.

The previous prime is 1130023302047. The next prime is 1130023302101. The reversal of 1130023302100 is 12033200311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130023302101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11833545 + ... + 11928655.

It is an arithmetic number, because the mean of its divisors is an integer number (21244723584).

Almost surely, 21130023302100 is an apocalyptic number.

1130023302100 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 1130023302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529620098048).

1130023302100 is an abundant number, since it is smaller than the sum of its proper divisors (1929216893996).

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

1130023302100 is a wasteful number, since it uses less digits than its factorization.

1130023302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96686 (or 96679 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1130023302100 its reverse (12033200311), we get a palindrome (1142056502411).

The spelling of 1130023302100 in words is "one trillion, one hundred thirty billion, twenty-three million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1543 1925 3086 3850 6172 7700 7715 10801 15430 16973 21602 30860 33946 38575 43204 54005 67892 77150 84865 95111 108010 118811 154300 169730 190222 216020 237622 270025 339460 380444 424325 475244 475555 540050 594055 665777 848650 951110 1046221 1080100 1188110 1331554 1697300 1902220 2092442 2376220 2377775 2663108 2970275 3328885 4184884 4755550 5231105 5940550 6657770 7323547 9511100 10462210 11881100 13315540 14647094 16644425 20924420 26155525 29294188 33288850 36617735 52311050 66577700 73235470 104622100 146470940 146756273 183088675 293512546 366177350 587025092 732354700 733781365 1027293911 1467562730 1614319003 2054587822 2935125460 3228638006 3668906825 4109175644 5136469555 6457276012 7337813650 8071595015 10272939110 11300233021 14675627300 16143190030 20545878220 22600466042 25682347775 32286380060 40357975075 45200932084 51364695550 56501165105 80715950150 102729391100 113002330210 161431900300 226004660420 282505825525 565011651050 1130023302100