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2002103220 = 2235134359693
BaseRepresentation
bin111011101010101…
…1010101110110100
312011112022101022010
41313111122232310
513100014300340
6530400004220
7100420411425
oct16725325664
95145271263
102002103220
11938153867
1247a600670
1325ba32780
1414dc8564c
15bab7ab80
hex7755abb4

2002103220 has 96 divisors (see below), whose sum is σ = 6177612672. Its totient is φ = 481356288.

The previous prime is 2002103219. The next prime is 2002103221. The reversal of 2002103220 is 223012002.

It is an interprime number because it is at equal distance from previous prime (2002103219) and next prime (2002103221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002103196 and 2002103205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002103221) 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 31 ways as a sum of consecutive naturals, for example, 3694 + ... + 63386.

It is an arithmetic number, because the mean of its divisors is an integer number (64350132).

Almost surely, 22002103220 is an apocalyptic number.

2002103220 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 2002103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088806336).

2002103220 is an abundant number, since it is smaller than the sum of its proper divisors (4175509452).

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

2002103220 is a wasteful number, since it uses less digits than its factorization.

2002103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59761 (or 59759 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2002103220 is about 44744.8680856252. The cubic root of 2002103220 is about 1260.3625436963.

Adding to 2002103220 its reverse (223012002), we get a palindrome (2225115222).

The spelling of 2002103220 in words is "two billion, two million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 2236 2580 2795 3354 5590 6708 8385 11180 16770 33540 59693 119386 179079 238772 298465 358158 596930 716316 776009 895395 1193860 1552018 1790790 2328027 2566799 3104036 3581580 3880045 4656054 5133598 7700397 7760090 9312108 10267196 11640135 12833995 15400794 15520180 23280270 25667990 30801588 33368387 38501985 46560540 51335980 66736774 77003970 100105161 133473548 154007940 166841935 200210322 333683870 400420644 500525805 667367740 1001051610 2002103220