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1122341120 = 2852367569
BaseRepresentation
bin100001011100101…
…1001000100000000
32220012212211120122
41002321121010000
54244304403440
6303211355412
736545512355
oct10271310400
92805784518
101122341120
1152659454a
12273a52b68
1314b6a3894
14a90b662c
15687ea7b5
hex42e59100

1122341120 has 144 divisors (see below), whose sum is σ = 2852115840. Its totient is φ = 422264832.

The previous prime is 1122341107. The next prime is 1122341123. The reversal of 1122341120 is 211432211.

It is not an unprimeable number, because it can be changed into a prime (1122341123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1972196 + ... + 1972764.

It is an arithmetic number, because the mean of its divisors is an integer number (19806360).

Almost surely, 21122341120 is an apocalyptic number.

1122341120 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 1122341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426057920).

1122341120 is an abundant number, since it is smaller than the sum of its proper divisors (1729774720).

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

1122341120 is an equidigital number, since it uses as much as digits as its factorization.

1122341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

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

The square root of 1122341120 is about 33501.3599723952. The cubic root of 1122341120 is about 1039.2219032036.

Adding to 1122341120 its reverse (211432211), we get a palindrome (1333773331).

The spelling of 1122341120 in words is "one billion, one hundred twenty-two million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 67 80 92 115 128 134 160 184 230 256 268 320 335 368 460 536 569 640 670 736 920 1072 1138 1280 1340 1472 1541 1840 2144 2276 2680 2845 2944 3082 3680 4288 4552 5360 5690 5888 6164 7360 7705 8576 9104 10720 11380 12328 13087 14720 15410 17152 18208 21440 22760 24656 26174 29440 30820 36416 38123 42880 45520 49312 52348 61640 65435 72832 76246 85760 91040 98624 104696 123280 130870 145664 152492 182080 190615 197248 209392 246560 261740 304984 364160 381230 394496 418784 493120 523480 609968 728320 762460 837568 876829 986240 1046960 1219936 1524920 1675136 1753658 1972480 2093920 2439872 3049840 3350272 3507316 4187840 4384145 4879744 6099680 7014632 8375680 8768290 9759488 12199360 14029264 16751360 17536580 24398720 28058528 35073160 48797440 56117056 70146320 112234112 140292640 224468224 280585280 561170560 1122341120