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2003103020322 = 232312263440303
BaseRepresentation
bin11101001001100010001…
…111100111010100100010
321002111100200201121121200
4131021202033213110202
5230304323333122242
64132113545302030
7264501521512365
oct35114217472442
97074320647550
102003103020322
11702569485998
1228426b194916
13116b793a9081
146cd44a320dc
153718a62104c
hex1d2623e7522

2003103020322 has 72 divisors (see below), whose sum is σ = 4501636394112. Its totient is φ = 643703911920.

The previous prime is 2003103020263. The next prime is 2003103020431. The reversal of 2003103020322 is 2230203013002.

It is a happy number.

2003103020322 is a `hidden beast` number, since 2 + 0 + 0 + 310 + 30 + 2 + 0 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2003103020295 and 2003103020304.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4329223 + ... + 4769525.

It is an arithmetic number, because the mean of its divisors is an integer number (62522727696).

Almost surely, 22003103020322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003103020322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250818197056).

2003103020322 is an abundant number, since it is smaller than the sum of its proper divisors (2498533373790).

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

2003103020322 is a wasteful number, since it uses less digits than its factorization.

2003103020322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440636 (or 440602 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2003103020322 its reverse (2230203013002), we get a palindrome (4233306033324).

The spelling of 2003103020322 in words is "two trillion, three billion, one hundred three million, twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 263 279 526 558 789 961 1578 1922 2367 2883 4734 5766 8153 8649 16306 17298 24459 48918 73377 146754 252743 440303 505486 758229 880606 1320909 1516458 2274687 2641818 3962727 4549374 7925454 13649393 27298786 40948179 81896358 115799689 122844537 231599378 245689074 347399067 423131183 694798134 846262366 1042197201 1269393549 2084394402 2538787098 3589790359 3808180647 7179580718 7616361294 10769371077 21538742154 32308113231 64616226462 111283501129 222567002258 333850503387 667701006774 1001551510161 2003103020322