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2003203212200 = 2352199385313063
BaseRepresentation
bin11101001001101000001…
…101110100001110101000
321002111121200020220000222
4131021220031310032220
5230310030010242300
64132131524545212
7264504146234111
oct35115015641650
97074550226028
102003203212200
1170260aa985a3
12284298852208
13116b94088cc8
146cd54073208
1537194312785
hex1d2683743a8

2003203212200 has 96 divisors (see below), whose sum is σ = 4682425008000. Its totient is φ = 796986812160.

The previous prime is 2003203212193. The next prime is 2003203212221. The reversal of 2003203212200 is 22123023002.

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 23 ways as a sum of consecutive naturals, for example, 153342869 + ... + 153355931.

It is an arithmetic number, because the mean of its divisors is an integer number (48775260500).

Almost surely, 22003203212200 is an apocalyptic number.

2003203212200 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 2003203212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341212504000).

2003203212200 is an abundant number, since it is smaller than the sum of its proper divisors (2679221795800).

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

2003203212200 is a wasteful number, since it uses less digits than its factorization.

2003203212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17131 (or 17122 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2003203212200 its reverse (22123023002), we get a palindrome (2025326235202).

The spelling of 2003203212200 in words is "two trillion, three billion, two hundred three million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 199 200 398 796 995 1592 1990 3853 3980 4975 7706 7960 9950 13063 15412 19265 19900 26126 30824 38530 39800 52252 65315 77060 96325 104504 130630 154120 192650 261260 326575 385300 522520 653150 766747 770600 1306300 1533494 2599537 2612600 3066988 3833735 5199074 6133976 7667470 10398148 12997685 15334940 19168675 20796296 25995370 30669880 38337350 50331739 51990740 64988425 76674700 100663478 103981480 129976850 153349400 201326956 251658695 259953700 402653912 503317390 519907400 1006634780 1258293475 2013269560 2516586950 5033173900 10016016061 10066347800 20032032122 40064064244 50080080305 80128128488 100160160610 200320321220 250400401525 400640642440 500800803050 1001601606100 2003203212200