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2003012111120 = 24547707975253
BaseRepresentation
bin11101001001011100110…
…100110100101100010000
321002111010100122221122012
4131021130310310230100
5230304132100023440
64132100541002052
7264466336012106
oct35113464645420
97074110587565
102003012111120
11702522133519
12284244853328
13116b635c9347
146cd36929c76
1537182664e65
hex1d25cd34b10

2003012111120 has 80 divisors (see below), whose sum is σ = 4756823400960. Its totient is φ = 784036741632.

The previous prime is 2003012111119. The next prime is 2003012111141. The reversal of 2003012111120 is 211112103002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2003012111095 and 2003012111104.

It is an unprimeable number.

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, 26579414 + ... + 26654666.

It is an arithmetic number, because the mean of its divisors is an integer number (59460292512).

Almost surely, 22003012111120 is an apocalyptic number.

2003012111120 is a gapful number since it is divisible by the number (20) 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 2003012111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378411700480).

2003012111120 is an abundant number, since it is smaller than the sum of its proper divisors (2753811289840).

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

2003012111120 is a wasteful number, since it uses less digits than its factorization.

2003012111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82392 (or 82386 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2003012111120 its reverse (211112103002), we get a palindrome (2214124214122).

The spelling of 2003012111120 in words is "two trillion, three billion, twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 7079 14158 28316 35395 56632 70790 75253 113264 141580 150506 283160 301012 332713 376265 566320 602024 665426 752530 1204048 1330852 1505060 1663565 2661704 3010120 3327130 3536891 5323408 6020240 6654260 7073782 13308520 14147564 17684455 26617040 28295128 35368910 56590256 70737820 141475640 282951280 532715987 1065431974 2130863948 2663579935 4261727896 5327159870 8523455792 10654319740 21308639480 25037651389 42617278960 50075302778 100150605556 125188256945 200301211112 250376513890 400602422224 500753027780 1001506055560 2003012111120