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2003113122320 = 245832111429733
BaseRepresentation
bin11101001001100010110…
…110001001101000010000
321002111101101201211221202
4131021202312021220100
5230304333424403240
64132114550010332
7264502003415312
oct35114266115020
97074341654852
102003113122320
11702574155752
122842726469a8
13116b7b50519b
146cd461017b2
153718b469315
hex1d262d89a10

2003113122320 has 80 divisors (see below), whose sum is σ = 4735690771392. Its totient is φ = 787839521280.

The previous prime is 2003113122301. The next prime is 2003113122331. The reversal of 2003113122320 is 232213113002.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2003113122292 and 2003113122301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686174 + ... + 2115906.

Almost surely, 22003113122320 is an apocalyptic number.

2003113122320 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 2003113122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367845385696).

2003113122320 is an abundant number, since it is smaller than the sum of its proper divisors (2732577649072).

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

2003113122320 is a wasteful number, since it uses less digits than its factorization.

2003113122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430040 (or 1430034 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2003113122320 its reverse (232213113002), we get a palindrome (2235326235322).

The spelling of 2003113122320 in words is "two trillion, three billion, one hundred thirteen million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 211 332 415 422 664 830 844 1055 1328 1660 1688 2110 3320 3376 4220 6640 8440 16880 17513 35026 70052 87565 140104 175130 280208 350260 700520 1401040 1429733 2859466 5718932 7148665 11437864 14297330 22875728 28594660 57189320 114378640 118667839 237335678 301673663 474671356 593339195 603347326 949342712 1186678390 1206694652 1508368315 1898685424 2373356780 2413389304 3016736630 4746713560 4826778608 6033473260 9493427120 12066946520 24133893040 25038914029 50077828058 100155656116 125194570145 200311312232 250389140290 400622624464 500778280580 1001556561160 2003113122320