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1211145320 = 2357111732273
BaseRepresentation
bin100100000110000…
…1001110001101000
310010101222120001002
41020030021301220
54440023122240
6320103014132
742004364630
oct11014116150
93111876032
101211145320
11571729450
1229973a348
13163bc7448
14b6bd16c0
15714dcd15
hex48309c68

1211145320 has 128 divisors (see below), whose sum is σ = 3418640640. Its totient is φ = 375152640.

The previous prime is 1211145319. The next prime is 1211145337. The reversal of 1211145320 is 235411121.

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 = 1211145292 and 1211145301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531704 + ... + 533976.

It is an arithmetic number, because the mean of its divisors is an integer number (26708130).

Almost surely, 21211145320 is an apocalyptic number.

1211145320 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 1211145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709320320).

1211145320 is an abundant number, since it is smaller than the sum of its proper divisors (2207495320).

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

1211145320 is a wasteful number, since it uses less digits than its factorization.

1211145320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1211145320 is about 34801.5131854924. The cubic root of 1211145320 is about 1065.9383443930.

Adding to 1211145320 its reverse (235411121), we get a palindrome (1446556441).

The spelling of 1211145320 in words is "one billion, two hundred eleven million, one hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 173 220 280 308 346 385 440 616 692 770 865 1211 1384 1540 1730 1903 2273 2422 3080 3460 3806 4546 4844 6055 6920 7612 9092 9515 9688 11365 12110 13321 15224 15911 18184 19030 22730 24220 25003 26642 31822 38060 45460 48440 50006 53284 63644 66605 76120 79555 90920 100012 106568 125015 127288 133210 159110 175021 200024 250030 266420 318220 350042 393229 500060 532840 636440 700084 786458 875105 1000120 1400168 1572916 1750210 1966145 2752603 3145832 3500420 3932290 4325519 5505206 7000840 7864580 8651038 11010412 13763015 15729160 17302076 21627595 22020824 27526030 30278633 34604152 43255190 55052060 60557266 86510380 110104120 121114532 151393165 173020760 242229064 302786330 605572660 1211145320