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2003131221 = 3721319431283
BaseRepresentation
bin111011101100101…
…0101101101010101
312011121020121110020
41313121111231111
513100300144341
6530434015353
7100432222500
oct16731255525
95147217406
102003131221
11938796153
1247aa17559
1325c002660
14150072137
15bacd0566
hex77655b55

2003131221 has 96 divisors (see below), whose sum is σ = 3606704640. Its totient is φ = 976945536.

The previous prime is 2003131217. The next prime is 2003131231. The reversal of 2003131221 is 1221313002.

It is not a de Polignac number, because 2003131221 - 22 = 2003131217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2003131221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1560646 + ... + 1561928.

It is an arithmetic number, because the mean of its divisors is an integer number (37569840).

Almost surely, 22003131221 is an apocalyptic number.

2003131221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2003131221 is a deficient number, since it is larger than the sum of its proper divisors (1603573419).

2003131221 is a wasteful number, since it uses less digits than its factorization.

2003131221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2003131221 is about 44756.3539734863. The cubic root of 2003131221 is about 1260.5782222637.

Adding to 2003131221 its reverse (1221313002), we get a palindrome (3224444223).

The spelling of 2003131221 in words is "two billion, three million, one hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 13 19 21 39 43 49 57 91 129 133 147 247 273 301 399 559 637 741 817 903 931 1283 1677 1729 1911 2107 2451 2793 3849 3913 5187 5719 6321 8981 10621 11739 12103 16679 17157 24377 26943 27391 31863 36309 40033 50037 55169 62867 73131 74347 82173 116753 120099 165507 170639 188601 223041 316901 350259 386183 511917 520429 717197 817271 950703 1048211 1158549 1194473 1561287 2151591 2218307 2451813 2703281 3144633 3583419 5020379 6654921 7337477 8109843 13626743 15061137 15528149 22012431 35142653 40880229 46584447 51362339 95387201 105427959 154087017 286161603 667710407 2003131221