Search a number
-
+
2003222113120 = 255907128910709
BaseRepresentation
bin11101001001101001010…
…101111010101101100000
321002111122222211011020001
4131021221111322231200
5230310044330104440
64132133442025344
7264504466004614
oct35115125725540
97074588734201
102003222113120
1170261a728098
122842a3048254
13116b97c76097
146cd56793344
1537195ce7b9a
hex1d26957ab60

2003222113120 has 96 divisors (see below), whose sum is σ = 4741948461600. Its totient is φ = 799709761536.

The previous prime is 2003222113111. The next prime is 2003222113121. The reversal of 2003222113120 is 213112223002.

It is a super-2 number, since 2×20032221131202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003222113121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187054326 + ... + 187065034.

It is an arithmetic number, because the mean of its divisors is an integer number (49395296475).

Almost surely, 22003222113120 is an apocalyptic number.

2003222113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003222113120 is an abundant number, since it is smaller than the sum of its proper divisors (2738726348480).

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

2003222113120 is a wasteful number, since it uses less digits than its factorization.

2003222113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2003222113120 its reverse (213112223002), we get a palindrome (2216334336122).

The spelling of 2003222113120 in words is "two trillion, three billion, two hundred twenty-two million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 907 1289 1814 2578 3628 4535 5156 6445 7256 9070 10312 10709 12890 14512 18140 20624 21418 25780 29024 36280 41248 42836 51560 53545 72560 85672 103120 107090 145120 171344 206240 214180 342688 428360 856720 1169123 1713440 2338246 4676492 5845615 9352984 9713063 11691230 13803901 18705968 19426126 23382460 27607802 37411936 38852252 46764920 48565315 55215604 69019505 77704504 93529840 97130630 110431208 138039010 155409008 187059680 194261260 220862416 276078020 310818016 388522520 441724832 552156040 777045040 1104312080 1554090080 2208624160 12520138207 25040276414 50080552828 62600691035 100161105656 125201382070 200322211312 250402764140 400644422624 500805528280 1001611056560 2003222113120