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200202110000 = 245490722073
BaseRepresentation
bin1011101001110011111…
…0011100010000110000
3201010202102120221021222
42322130332130100300
511240003220010000
6231545510004212
720315123566664
oct2723476342060
9633672527258
10200202110000
11779a5965462
1232973346668
1315b571649a9
149992c928a4
15531b098a85
hex2e9cf9c430

200202110000 has 100 divisors (see below), whose sum is σ = 485265721512. Its totient is φ = 79988928000.

The previous prime is 200202109993. The next prime is 200202110023. The reversal of 200202110000 is 11202002.

200202110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 200202110000.

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 19 ways as a sum of consecutive naturals, for example, 9058964 + ... + 9081036.

Almost surely, 2200202110000 is an apocalyptic number.

200202110000 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 200202110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242632860756).

200202110000 is an abundant number, since it is smaller than the sum of its proper divisors (285063611512).

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

200202110000 is an equidigital number, since it uses as much as digits as its factorization.

200202110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23008 (or 22987 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 200202110000 its reverse (11202002), we get a palindrome (200213312002).

The spelling of 200202110000 in words is "two hundred billion, two hundred two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 907 1000 1250 1814 2000 2500 3628 4535 5000 7256 9070 10000 14512 18140 22073 22675 36280 44146 45350 72560 88292 90700 110365 113375 176584 181400 220730 226750 353168 362800 441460 453500 551825 566875 882920 907000 1103650 1133750 1765840 1814000 2207300 2267500 2759125 4414600 4535000 5518250 8829200 9070000 11036500 13795625 20020211 22073000 27591250 40040422 44146000 55182500 80080844 100101055 110365000 160161688 200202110 220730000 320323376 400404220 500505275 800808440 1001010550 1601616880 2002021100 2502526375 4004042200 5005052750 8008084400 10010105500 12512631875 20020211000 25025263750 40040422000 50050527500 100101055000 200202110000