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201042341334 = 237151304391
BaseRepresentation
bin1011101100111100001…
…1101010110111010110
3201012220222122010000000
42323033003222313112
511243213314410314
6232205123032130
720345005464012
oct2731703526726
9635828563000
10201042341334
117829718471a
1232b6880b646
1315c5c2627b3
149a326d1542
155369c1b209
hex2ecf0eadd6

201042341334 has 64 divisors (see below), whose sum is σ = 455273026560. Its totient is φ = 66570093000.

The previous prime is 201042341333. The next prime is 201042341393. The reversal of 201042341334 is 433143240102.

201042341334 is a `hidden beast` number, since 201 + 0 + 42 + 3 + 413 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201042341298 and 201042341307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201042341333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508279 + ... + 812669.

It is an arithmetic number, because the mean of its divisors is an integer number (7113641040).

Almost surely, 2201042341334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201042341334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227636513280).

201042341334 is an abundant number, since it is smaller than the sum of its proper divisors (254230685226).

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

201042341334 is an equidigital number, since it uses as much as digits as its factorization.

201042341334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304565 (or 304547 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 201042341334 its reverse (433143240102), we get a palindrome (634185581436).

The spelling of 201042341334 in words is "two hundred one billion, forty-two million, three hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 243 302 453 486 729 906 1359 1458 2187 2718 4077 4374 8154 12231 24462 36693 73386 110079 220158 304391 330237 608782 660474 913173 1826346 2739519 5479038 8218557 16437114 24655671 45963041 49311342 73967013 91926082 137889123 147934026 221901039 275778246 413667369 443802078 665703117 827334738 1241002107 1331406234 2482004214 3723006321 7446012642 11169018963 22338037926 33507056889 67014113778 100521170667 201042341334