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203252240000 = 27545035051
BaseRepresentation
bin1011110101001011000…
…1110000111010000000
3201102121222221121001202
42331102301300322000
511312230033140000
6233212304520332
720453531351165
oct2752261607200
9642558847052
10203252240000
1179220655257
12334849200a8
131622204b844
149ba1dc806c
155448c40dd5
hex2f52c70e80

203252240000 has 160 divisors (see below), whose sum is σ = 507090054240. Its totient is φ = 81123200000.

The previous prime is 203252239963. The next prime is 203252240003. The reversal of 203252240000 is 42252302.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2032522400002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (203252240003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 40237475 + ... + 40242525.

It is an arithmetic number, because the mean of its divisors is an integer number (3169312839).

Almost surely, 2203252240000 is an apocalyptic number.

203252240000 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 203252240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253545027120).

203252240000 is an abundant number, since it is smaller than the sum of its proper divisors (303837814240).

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

203252240000 is an frugal number, since it uses more digits than its factorization.

203252240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 203252240000 its reverse (42252302), we get a palindrome (203294492302).

The spelling of 203252240000 in words is "two hundred three billion, two hundred fifty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 503 625 640 800 1000 1006 1250 1600 2000 2012 2500 2515 3200 4000 4024 5000 5030 5051 8000 8048 10000 10060 10102 12575 16000 16096 20000 20120 20204 25150 25255 32192 40000 40240 40408 50300 50510 62875 64384 80000 80480 80816 100600 101020 125750 126275 160960 161632 201200 202040 251500 252550 314375 321920 323264 402400 404080 503000 505100 628750 631375 646528 804800 808160 1006000 1010200 1257500 1262750 1609600 1616320 2012000 2020400 2515000 2525500 2540653 3156875 3232640 4024000 4040800 5030000 5051000 5081306 6313750 8048000 8081600 10060000 10102000 10162612 12627500 12703265 16163200 20120000 20204000 20325224 25255000 25406530 40240000 40408000 40650448 50510000 50813060 63516325 80816000 81300896 101020000 101626120 127032650 162601792 202040000 203252240 254065300 317581625 325203584 404080000 406504480 508130600 635163250 813008960 1016261200 1270326500 1587908125 1626017920 2032522400 2540653000 3175816250 4065044800 5081306000 6351632500 8130089600 10162612000 12703265000 20325224000 25406530000 40650448000 50813060000 101626120000 203252240000