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210244131342 = 232721138832389
BaseRepresentation
bin1100001111001110000…
…1101101101000001110
3202002200021102110212100
43003303201231220032
511421034444200332
6240330153215530
721122021426100
oct3036341555016
9662607373770
10210244131342
1181189370753
12348b64015a6
1316a97775a5b
14a266833570
1557079a767c
hex30f386da0e

210244131342 has 144 divisors (see below), whose sum is σ = 535419864720. Its totient is φ = 59445840384.

The previous prime is 210244131341. The next prime is 210244131353. The reversal of 210244131342 is 243131442012.

210244131342 is a `hidden beast` number, since 210 + 2 + 4 + 413 + 1 + 34 + 2 = 666.

210244131342 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 (210244131341) 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 71 ways as a sum of consecutive naturals, for example, 88003884 + ... + 88006272.

It is an arithmetic number, because the mean of its divisors is an integer number (3718193505).

Almost surely, 2210244131342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210244131342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267709932360).

210244131342 is an abundant number, since it is smaller than the sum of its proper divisors (325175733378).

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

210244131342 is a wasteful number, since it uses less digits than its factorization.

210244131342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 210244131342 its reverse (243131442012), we get a palindrome (453375573354).

The spelling of 210244131342 in words is "two hundred ten billion, two hundred forty-four million, one hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 113 126 147 226 294 339 441 678 791 882 883 1017 1582 1766 2034 2373 2389 2649 4746 4778 5298 5537 6181 7119 7167 7947 11074 12362 14238 14334 15894 16611 16723 18543 21501 33222 33446 37086 43002 43267 49833 50169 55629 86534 99666 99779 100338 111258 117061 129801 150507 199558 234122 259602 269957 299337 301014 351183 389403 539914 598674 698453 702366 778806 809871 898011 1053549 1396906 1619742 1796022 1889699 2095359 2107098 2109487 2429613 3779398 4190718 4218974 4859226 4889171 5669097 6286077 6328461 9778342 11338194 12572154 12656922 13227893 14667513 14766409 17007291 18985383 26455786 29335026 29532818 34014582 37970766 39683679 44002539 44299227 79367358 88005078 88598454 103364863 119051037 132897681 206729726 238102074 238372031 265795362 310094589 476744062 620189178 715116093 930283767 1430232186 1668604217 1860567534 2145348279 3337208434 4290696558 5005812651 10011625302 11680229519 15017437953 23360459038 30034875906 35040688557 70081377114 105122065671 210244131342