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1120002210 = 2325373171061
BaseRepresentation
bin100001011000001…
…1110000010100010
32220001111000012100
41002300132002202
54243210032320
6303045311230
736516601365
oct10260360242
92801430170
101120002210
11525237268
12273105516
1314b065102
14a8a680dc
15684d7790
hex42c1e0a2

1120002210 has 96 divisors (see below), whose sum is σ = 3002970672. Its totient is φ = 289405440.

The previous prime is 1120002199. The next prime is 1120002239. The reversal of 1120002210 is 122000211.

It can be written as a sum of positive squares in 8 ways, for example, as 519703209 + 600299001 = 22797^2 + 24501^2 .

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 = 1120002192 and 1120002201.

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 47 ways as a sum of consecutive naturals, for example, 1055080 + ... + 1056140.

Almost surely, 21120002210 is an apocalyptic number.

1120002210 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 1120002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501485336).

1120002210 is an abundant number, since it is smaller than the sum of its proper divisors (1882968462).

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

1120002210 is a wasteful number, since it uses less digits than its factorization.

1120002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1425 counting only the distinct ones).

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

The square root of 1120002210 is about 33466.4340795371. The cubic root of 1120002210 is about 1038.4995034300.

Adding to 1120002210 its reverse (122000211), we get a palindrome (1242002421).

The spelling of 1120002210 in words is "one billion, one hundred twenty million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 317 333 370 555 634 666 951 1061 1110 1585 1665 1902 2122 2853 3170 3183 3330 4755 5305 5706 6366 9510 9549 10610 11729 14265 15915 19098 23458 28530 31830 35187 39257 47745 58645 70374 78514 95490 105561 117290 117771 175935 196285 211122 235542 336337 351870 353313 392570 527805 588855 672674 706626 1009011 1055610 1177710 1681685 1766565 2018022 3027033 3363370 3533130 5045055 6054066 10090110 12444469 15135165 24888938 30270330 37333407 62222345 74666814 112000221 124444690 186667035 224000442 373334070 560001105 1120002210