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201351541424 = 241137113273629
BaseRepresentation
bin1011101110000101111…
…1001011001010110000
3201020201112110002210012
42323201133023022300
511244331443311144
6232255530154052
720355451602005
oct2734137131260
9636645402705
10201351541424
1178435772290
1233034282928
1315cab332027
149a617bb8ac
155386e45e9e
hex2ee17cb2b0

201351541424 has 80 divisors (see below), whose sum is σ = 440955839520. Its totient is φ = 88261447680.

The previous prime is 201351541421. The next prime is 201351541427. The reversal of 201351541424 is 424145153102.

It is an interprime number because it is at equal distance from previous prime (201351541421) and next prime (201351541427).

It is not an unprimeable number, because it can be changed into a prime (201351541421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599042 + ... + 872670.

It is an arithmetic number, because the mean of its divisors is an integer number (5511947994).

Almost surely, 2201351541424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201351541424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220477919760).

201351541424 is an abundant number, since it is smaller than the sum of its proper divisors (239604298096).

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

201351541424 is a wasteful number, since it uses less digits than its factorization.

201351541424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273798 (or 273792 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 201351541424 its reverse (424145153102), we get a palindrome (625496694526).

The spelling of 201351541424 in words is "two hundred one billion, three hundred fifty-one million, five hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 113 148 176 226 296 407 452 592 814 904 1243 1628 1808 2486 3256 4181 4972 6512 8362 9944 16724 19888 33448 45991 66896 91982 183964 273629 367928 547258 735856 1094516 2189032 3009919 4378064 6019838 10124273 12039676 20248546 24079352 30920077 40497092 48158704 61840154 80994184 111367003 123680308 161988368 222734006 247360616 340120847 445468012 494721232 680241694 890936024 1144042849 1360483388 1781872048 2288085698 2720966776 4576171396 5441933552 9152342792 12584471339 18304685584 25168942678 50337885356 100675770712 201351541424