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1122000210 = 232537347971
BaseRepresentation
bin100001011100000…
…0101110101010010
32220012020111221100
41002320011311102
54244213001320
6303200205230
736542562432
oct10270056522
92805214840
101122000210
11526381401
12273909816
1314b5b4666
14a90282c2
156877e790
hex42e05d52

1122000210 has 96 divisors (see below), whose sum is σ = 3007772352. Its totient is φ = 289975680.

The previous prime is 1122000203. The next prime is 1122000233. The reversal of 1122000210 is 120002211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1122000192 and 1122000201.

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 47 ways as a sum of consecutive naturals, for example, 1155025 + ... + 1155995.

It is an arithmetic number, because the mean of its divisors is an integer number (31330962).

Almost surely, 21122000210 is an apocalyptic number.

1122000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503886176).

1122000210 is an abundant number, since it is smaller than the sum of its proper divisors (1885772142).

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

1122000210 is a wasteful number, since it uses less digits than its factorization.

1122000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1122000210 is about 33496.2715835658. The cubic root of 1122000210 is about 1039.1166716747.

Adding to 1122000210 its reverse (120002211), we get a palindrome (1242002421).

The spelling of 1122000210 in words is "one billion, one hundred twenty-two million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 347 370 555 666 694 971 1041 1110 1665 1735 1942 2082 2913 3123 3330 3470 4855 5205 5826 6246 8739 9710 10410 12839 14565 15615 17478 25678 29130 31230 35927 38517 43695 64195 71854 77034 87390 107781 115551 128390 179635 192585 215562 231102 323343 336937 359270 385170 538905 577755 646686 673874 1010811 1077810 1155510 1616715 1684685 2021622 3032433 3233430 3369370 5054055 6064866 10108110 12466669 15162165 24933338 30324330 37400007 62333345 74800014 112200021 124666690 187000035 224400042 374000070 561000105 1122000210