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2003033201120 = 25574143620061
BaseRepresentation
bin11101001001011110000…
…101010001100111100000
321002111011211100102200022
4131021132011101213200
5230304202444413440
64132103013013012
7264500013201020
oct35113605214740
97074154312608
102003033201120
11702533028776
1228424b924168
13116b67aa1933
146cd39659a80
153718442dcb5
hex1d25e1519e0

2003033201120 has 96 divisors (see below), whose sum is σ = 5540096834496. Its totient is φ = 670004121600.

The previous prime is 2003033201111. The next prime is 2003033201129. The reversal of 2003033201120 is 211023303002.

It is an interprime number because it is at equal distance from previous prime (2003033201111) and next prime (2003033201129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003033201129) 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 15 ways as a sum of consecutive naturals, for example, 21764111 + ... + 21855950.

It is an arithmetic number, because the mean of its divisors is an integer number (57709342026).

Almost surely, 22003033201120 is an apocalyptic number.

2003033201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003033201120 is an abundant number, since it is smaller than the sum of its proper divisors (3537063633376).

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

2003033201120 is a wasteful number, since it uses less digits than its factorization.

2003033201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43620124 (or 43620116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2003033201120 its reverse (211023303002), we get a palindrome (2214056504122).

The spelling of 2003033201120 in words is "two trillion, three billion, thirty-three million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 820 1120 1148 1312 1435 1640 2296 2870 3280 4592 5740 6560 9184 11480 22960 45920 43620061 87240122 174480244 218100305 305340427 348960488 436200610 610680854 697920976 872401220 1221361708 1395841952 1526702135 1744802440 1788422501 2442723416 3053404270 3489604880 3576845002 4885446832 6106808540 6979209760 7153690004 8942112505 9770893664 12213617080 12518957507 14307380008 17884225010 24427234160 25037915014 28614760016 35768450020 48854468320 50075830028 57229520032 62594787535 71536900040 100151660056 125189575070 143073800080 200303320112 250379150140 286147600160 400606640224 500758300280 1001516600560 2003033201120