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203240217000 = 23353121755667
BaseRepresentation
bin1011110101001000001…
…1111001100110101000
3201102121011022202121110
42331102003321212220
511312213443421000
6233211155110320
720453324224542
oct2752203714650
9642534282543
10203240217000
1179214893197
12334808a23a0
131621c6cc242
149ba0578692
155447b68850
hex2f520f99a8

203240217000 has 128 divisors (see below), whose sum is σ = 634641920640. Its totient is φ = 54151884800.

The previous prime is 203240216999. The next prime is 203240217029. The reversal of 203240217000 is 712042302.

203240217000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 3623167 + ... + 3678833.

It is an arithmetic number, because the mean of its divisors is an integer number (4958140005).

Almost surely, 2203240217000 is an apocalyptic number.

203240217000 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 203240217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317320960320).

203240217000 is an abundant number, since it is smaller than the sum of its proper divisors (431401703640).

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

203240217000 is a wasteful number, since it uses less digits than its factorization.

203240217000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56908 (or 56894 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 203240217000 its reverse (712042302), we get a palindrome (203952259302).

It can be divided in two parts, 2032402 and 17000, that added together give a palindrome (2049402).

The spelling of 203240217000 in words is "two hundred three billion, two hundred forty million, two hundred seventeen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1217 1500 2434 3000 3651 4868 6085 7302 9736 12170 14604 18255 24340 29208 30425 36510 48680 55667 60850 73020 91275 111334 121700 146040 152125 167001 182550 222668 243400 278335 304250 334002 365100 445336 456375 556670 608500 668004 730200 835005 912750 1113340 1217000 1336008 1391675 1670010 1825500 2226680 2783350 3340020 3651000 4175025 5566700 6680040 6958375 8350050 11133400 13916750 16700100 20875125 27833500 33400200 41750250 55667000 67746739 83500500 135493478 167001000 203240217 270986956 338733695 406480434 541973912 677467390 812960868 1016201085 1354934780 1625921736 1693668475 2032402170 2709869560 3387336950 4064804340 5081005425 6774673900 8129608680 8468342375 10162010850 13549347800 16936684750 20324021700 25405027125 33873369500 40648043400 50810054250 67746739000 101620108500 203240217000