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542131104020 = 2251159413910091
BaseRepresentation
bin1111110001110011000…
…10000010100100010100
31220211100001022112212112
413320321202002210110
532340241030312040
61053015051010152
754111341231402
oct7707142024424
91824301275775
10542131104020
11199a09969530
128909a739958
133c17988b81c
141c34c856472
15e17e778365
hex7e39882914

542131104020 has 96 divisors (see below), whose sum is σ = 1263453811200. Its totient is φ = 193731228800.

The previous prime is 542131104001. The next prime is 542131104083. The reversal of 542131104020 is 20401131245.

It is a super-2 number, since 2×5421311040202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53719175 + ... + 53729265.

It is an arithmetic number, because the mean of its divisors is an integer number (13160977200).

Almost surely, 2542131104020 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 542131104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631726905600).

542131104020 is an abundant number, since it is smaller than the sum of its proper divisors (721322707180).

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

542131104020 is a wasteful number, since it uses less digits than its factorization.

542131104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14309 (or 14307 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 542131104020 its reverse (20401131245), we get a palindrome (562532235265).

The spelling of 542131104020 in words is "five hundred forty-two billion, one hundred thirty-one million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 4139 6490 8278 10091 12980 16556 20182 20695 40364 41390 45529 50455 82780 91058 100910 111001 182116 201820 222002 227645 244201 444004 455290 488402 555005 595369 910580 976804 1110010 1190738 1221005 2220020 2381476 2442010 2686211 2976845 4884020 5372422 5953690 6549059 10744844 11907380 13098118 13431055 26196236 26862110 32745295 41766649 53724220 65490590 83533298 130981180 167066596 208833245 417666490 459433139 835332980 918866278 1837732556 2297165695 2464232291 4594331390 4928464582 9188662780 9856929164 12321161455 24642322910 27106555201 49284645820 54213110402 108426220804 135532776005 271065552010 542131104020