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203201002000 = 24534115116411
BaseRepresentation
bin1011110100111110111…
…0010011101000010000
3201102111102112102202001
42331033232103220100
511312123424031000
6233203234403344
720452340006233
oct2751756235020
9642442472661
10203201002000
11791a47393a7
123346b730554
131621454bab9
149b9928b41a
1554444be46a
hex2f4fb93a10

203201002000 has 160 divisors (see below), whose sum is σ = 506688069888. Its totient is φ = 78768000000.

The previous prime is 203201001923. The next prime is 203201002007. The reversal of 203201002000 is 200102302.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (203201002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12373795 + ... + 12390205.

Almost surely, 2203201002000 is an apocalyptic number.

203201002000 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 203201002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253344034944).

203201002000 is an abundant number, since it is smaller than the sum of its proper divisors (303487067888).

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

203201002000 is a wasteful number, since it uses less digits than its factorization.

203201002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16626 (or 16610 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 203201002000 its reverse (200102302), we get a palindrome (203401104302).

The spelling of 203201002000 in words is "two hundred three billion, two hundred one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 151 164 200 205 250 302 328 400 410 500 604 656 755 820 1000 1025 1208 1510 1640 2000 2050 2416 3020 3280 3775 4100 5125 6040 6191 7550 8200 10250 12080 12382 15100 16400 16411 18875 20500 24764 30200 30955 32822 37750 41000 49528 60400 61910 65644 75500 82000 82055 99056 123820 131288 151000 154775 164110 247640 262576 302000 309550 328220 410275 495280 619100 656440 672851 773875 820550 1238200 1312880 1345702 1547750 1641100 2051375 2476400 2478061 2691404 3095500 3282200 3364255 4102750 4956122 5382808 6191000 6564400 6728510 8205500 9912244 10765616 12382000 12390305 13457020 16411000 16821275 19824488 24780610 26914040 32822000 33642550 39648976 49561220 53828080 61951525 67285100 84106375 99122440 101600501 123903050 134570200 168212750 198244880 203201002 247806100 269140400 309757625 336425500 406402004 495612200 508002505 619515250 672851000 812804008 991224400 1016005010 1239030500 1345702000 1625608016 2032010020 2478061000 2540012525 4064020040 4956122000 5080025050 8128040080 10160050100 12700062625 20320100200 25400125250 40640200400 50800250500 101600501000 203201002000