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1114123220 = 2257172320353
BaseRepresentation
bin100001001101000…
…0010101111010100
32212122102022201222
41002122002233110
54240203420340
6302315305512
736415614440
oct10232025724
92778368658
101114123220
115219912a1
1227114b298
13149a87212
14a7d77820
1567c258b5
hex42682bd4

1114123220 has 96 divisors (see below), whose sum is σ = 2954423808. Its totient is φ = 343867392.

The previous prime is 1114123211. The next prime is 1114123261. The reversal of 1114123220 is 223214111.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44564 + ... + 64916.

It is an arithmetic number, because the mean of its divisors is an integer number (30775248).

Almost surely, 21114123220 is an apocalyptic number.

1114123220 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 1114123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477211904).

1114123220 is an abundant number, since it is smaller than the sum of its proper divisors (1840300588).

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

1114123220 is a wasteful number, since it uses less digits than its factorization.

1114123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20409 (or 20407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1114123220 is about 33378.4843874014. The cubic root of 1114123220 is about 1036.6792564489.

Adding to 1114123220 its reverse (223214111), we get a palindrome (1337337331).

The spelling of 1114123220 in words is "one billion, one hundred fourteen million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 595 644 782 805 1190 1564 1610 1955 2380 2737 3220 3910 5474 7820 10948 13685 20353 27370 40706 54740 81412 101765 142471 203530 284942 346001 407060 468119 569884 692002 712355 936238 1384004 1424710 1730005 1872476 2340595 2422007 2849420 3276833 3460010 4681190 4844014 6553666 6920020 7958023 9362380 9688028 12110035 13107332 15916046 16384165 24220070 31832092 32768330 39790115 48440140 55706161 65536660 79580230 111412322 159160460 222824644 278530805 557061610 1114123220