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1003001220 = 2232513428633
BaseRepresentation
bin111011110010001…
…001010110000100
32120220022202000100
4323302021112010
54023232014340
6243305444100
733566240544
oct7362112604
92526282010
101003001220
11475193731
1223baa0630
1312ca4b260
14972cd324
155d0c5830
hex3bc89584

1003001220 has 72 divisors (see below), whose sum is σ = 3276478296. Its totient is φ = 246892032.

The previous prime is 1003001213. The next prime is 1003001257. The reversal of 1003001220 is 221003001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26563716 + 976437504 = 5154^2 + 31248^2 .

It is a super-2 number, since 2×10030012202 = 2012022894642976800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211977 + ... + 216656.

It is an arithmetic number, because the mean of its divisors is an integer number (45506643).

Almost surely, 21003001220 is an apocalyptic number.

1003001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003001220 is an abundant number, since it is smaller than the sum of its proper divisors (2273477076).

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

1003001220 is a wasteful number, since it uses less digits than its factorization.

1003001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428661 (or 428656 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1003001220 is about 31670.1945052442. The cubic root of 1003001220 is about 1000.9994075185. Note that the first 3 decimals are identical.

Adding to 1003001220 its reverse (221003001), we get a palindrome (1224004221).

The spelling of 1003001220 in words is "one billion, three million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 428633 857266 1285899 1714532 2143165 2571798 3857697 4286330 5143596 5572229 6429495 7715394 8572660 11144458 12858990 15430788 16716687 19288485 22288916 25717980 27861145 33433374 38576970 50150061 55722290 66866748 77153940 83583435 100300122 111444580 167166870 200600244 250750305 334333740 501500610 1003001220