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200100310000 = 2454109118341
BaseRepresentation
bin1011101001011011101…
…0000110101111110000
3201010111100000221221121
42322112322012233300
511234301134410000
6231531432032024
720312446366663
oct2722672065760
9633440027847
10200100310000
1177953454628
1232945232614
1315b3c040ac6
1499835536da
15531218ab1a
hex2e96e86bf0

200100310000 has 100 divisors (see below), whose sum is σ = 484933352904. Its totient is φ = 79962400000.

The previous prime is 200100309977. The next prime is 200100310013. The reversal of 200100310000 is 13001002.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×2001003100002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10900830 + ... + 10919170.

Almost surely, 2200100310000 is an apocalyptic number.

200100310000 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 200100310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242466676452).

200100310000 is an abundant number, since it is smaller than the sum of its proper divisors (284833042904).

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

200100310000 is a wasteful number, since it uses less digits than its factorization.

200100310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19460 (or 19439 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 200100310000 its reverse (13001002), we get a palindrome (200113311002).

The spelling of 200100310000 in words is "two hundred billion, one hundred million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1091 1250 2000 2182 2500 4364 5000 5455 8728 10000 10910 17456 18341 21820 27275 36682 43640 54550 73364 87280 91705 109100 136375 146728 183410 218200 272750 293456 366820 436400 458525 545500 681875 733640 917050 1091000 1363750 1467280 1834100 2182000 2292625 2727500 3668200 4585250 5455000 7336400 9170500 10910000 11463125 18341000 20010031 22926250 36682000 40020062 45852500 80040124 91705000 100050155 160080248 183410000 200100310 320160496 400200620 500250775 800401240 1000501550 1600802480 2001003100 2501253875 4002006200 5002507750 8004012400 10005015500 12506269375 20010031000 25012538750 40020062000 50025077500 100050155000 200100310000