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1002011220 = 223257809983
BaseRepresentation
bin111011101110010…
…111101001010100
32120211110102222200
4323232113221110
54023003324340
6243232324500
733554645340
oct7356275124
92524412880
101002011220
11474677951
1223b6a3730
1312c792762
1497112620
155ce7c330
hex3bb97a54

1002011220 has 144 divisors (see below), whose sum is σ = 3481470720. Its totient is φ = 228515328.

The previous prime is 1002011201. The next prime is 1002011221. The reversal of 1002011220 is 221102001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002011221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018849 + ... + 1019831.

It is an arithmetic number, because the mean of its divisors is an integer number (24176880).

Almost surely, 21002011220 is an apocalyptic number.

1002011220 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 1002011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740735360).

1002011220 is an abundant number, since it is smaller than the sum of its proper divisors (2479459500).

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

1002011220 is a wasteful number, since it uses less digits than its factorization.

1002011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1809 counting only the distinct ones).

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

The square root of 1002011220 is about 31654.5608088313. The cubic root of 1002011220 is about 1000.6699577231.

Adding to 1002011220 its reverse (221102001), we get a palindrome (1223113221).

The spelling of 1002011220 in words is "one billion, two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 809 983 1260 1618 1966 2427 2949 3236 3932 4045 4854 4915 5663 5898 6881 7281 8090 8847 9708 9830 11326 11796 12135 13762 14562 14745 16180 16989 17694 19660 20643 22652 24270 27524 28315 29124 29490 33978 34405 35388 36405 41286 44235 48540 50967 56630 58980 61929 67956 68810 72810 82572 84945 88470 101934 103215 113260 123858 137620 145620 169890 176940 203868 206430 247716 254835 309645 339780 412860 509670 619290 795247 1019340 1238580 1590494 2385741 3180988 3976235 4771482 5566729 7157223 7952470 9542964 11133458 11928705 14314446 15904940 16700187 22266916 23857410 27833645 28628892 33400374 35786115 47714820 50100561 55667290 66800748 71572230 83500935 100201122 111334580 143144460 167001870 200402244 250502805 334003740 501005610 1002011220