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1130044212100 = 2252317311294423
BaseRepresentation
bin10000011100011011111…
…000100100001110000100
311000000211201112212201001
4100130123320210032010
5122003312304241400
62223045105143044
7144433356213436
oct20343370441604
94000751485631
101130044212100
113a6281552251
1216301562aa84
138274138017b
143c9a1740656
151e5dd40ea6a
hex1071be24384

1130044212100 has 144 divisors (see below), whose sum is σ = 2568827806720. Its totient is φ = 430964582400.

The previous prime is 1130044212091. The next prime is 1130044212119. The reversal of 1130044212100 is 12124400311.

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, 255490489 + ... + 255494911.

Almost surely, 21130044212100 is an apocalyptic number.

1130044212100 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 1130044212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284413903360).

1130044212100 is an abundant number, since it is smaller than the sum of its proper divisors (1438783594620).

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

1130044212100 is a wasteful number, since it uses less digits than its factorization.

1130044212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1130044212100 its reverse (12124400311), we get a palindrome (1142168612411).

The spelling of 1130044212100 in words is "one trillion, one hundred thirty billion, forty-four million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 73 100 124 146 155 292 310 365 620 730 775 1129 1460 1550 1825 2258 2263 3100 3650 4423 4516 4526 5645 7300 8846 9052 11290 11315 17692 22115 22580 22630 28225 34999 44230 45260 56450 56575 69998 82417 88460 110575 112900 113150 137113 139996 164834 174995 221150 226300 274226 322879 329668 349990 412085 442300 548452 645758 685565 699980 824170 874975 1291516 1371130 1614395 1648340 1749950 2060425 2554927 2742260 3228790 3427825 3499900 4120850 4993567 5109854 6457580 6855650 8071975 8241700 9987134 10009249 10219708 12774635 13711300 16143950 19974268 20018498 24967835 25549270 32287900 40036996 49935670 50046245 51098540 63873175 99871340 100092490 124839175 127746350 154800577 200184980 249678350 250231225 255492700 309601154 364530391 499356700 500462450 619202308 729060782 774002885 1000924900 1458121564 1548005770 1822651955 3096011540 3645303910 3870014425 7290607820 7740028850 9113259775 11300442121 15480057700 18226519550 22600884242 36453039100 45201768484 56502210605 113004421210 226008842420 282511053025 565022106050 1130044212100