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201402210200 = 235229115130169
BaseRepresentation
bin1011101110010010000…
…0011101011110011000
3201020212001210100021112
42323210200131132120
511244432431211300
6232304540155452
720356635353252
oct2734440353630
9636761710245
10201402210200
117846132a504
1233049238b88
1315cb8992959
149a6840acd2
15538b603e35
hex2ee481d798

201402210200 has 96 divisors (see below), whose sum is σ = 484843968000. Its totient is φ = 77712768000.

The previous prime is 201402210173. The next prime is 201402210203. The reversal of 201402210200 is 2012204102.

201402210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201402210203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6660716 + ... + 6690884.

It is an arithmetic number, because the mean of its divisors is an integer number (5050458000).

Almost surely, 2201402210200 is an apocalyptic number.

201402210200 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 201402210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242421984000).

201402210200 is an abundant number, since it is smaller than the sum of its proper divisors (283441757800).

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

201402210200 is a wasteful number, since it uses less digits than its factorization.

201402210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31365 (or 31356 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201402210200 its reverse (2012204102), we get a palindrome (203414414302).

The spelling of 201402210200 in words is "two hundred one billion, four hundred two million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1151 1160 1450 2302 2900 4604 5755 5800 9208 11510 23020 28775 30169 33379 46040 57550 60338 66758 115100 120676 133516 150845 166895 230200 241352 267032 301690 333790 603380 667580 754225 834475 874901 1206760 1335160 1508450 1668950 1749802 3016900 3337900 3499604 4374505 6033800 6675800 6999208 8749010 17498020 21872525 34724519 34996040 43745050 69449038 87490100 138898076 173622595 174980200 277796152 347245190 694490380 868112975 1007011051 1388980760 1736225950 2014022102 3472451900 4028044204 5035055255 6944903800 8056088408 10070110510 20140221020 25175276275 40280442040 50350552550 100701105100 201402210200