Search a number
-
+
332242023032010 = 232571340566791579
BaseRepresentation
bin100101110001011000001111…
…1110000110010010011001010
31121120101000201211112002111200
41023202300133300302103022
5322021423130344011020
63134341513414005030
7126660460024411560
oct11342603760622312
91546330654462450
10332242023032010
1196954061519483
123131a891346776
13113503996296c0
145c08857893a30
15286259de83590
hex12e2c1fc324ca

332242023032010 has 96 divisors (see below), whose sum is σ = 1063174473728640. Its totient is φ = 70099415846784.

The previous prime is 332242023031957. The next prime is 332242023032021. The reversal of 332242023032010 is 10230320242233.

332242023032010 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 420 + 2 + 30 + 3 + 201 + 0 = 666.

It is a super-2 number, since 2×3322420230320102 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20283387600 + ... + 20283403979.

It is an arithmetic number, because the mean of its divisors is an integer number (11074734101340).

Almost surely, 2332242023032010 is an apocalyptic number.

332242023032010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332242023032010 is an abundant number, since it is smaller than the sum of its proper divisors (730932450696630).

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

332242023032010 is a wasteful number, since it uses less digits than its factorization.

332242023032010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40566791612 (or 40566791609 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 332242023032010 its reverse (10230320242233), we get a palindrome (342472343274243).

The spelling of 332242023032010 in words is "three hundred thirty-two trillion, two hundred forty-two billion, twenty-three million, thirty-two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 40566791579 81133583158 121700374737 202833957895 243400749474 283967541053 365101124211 405667915790 527368290527 567935082106 608501873685 730202248422 851902623159 1054736581054 1217003747370 1419837705265 1582104871581 1703805246318 1825505621055 2555707869477 2636841452635 2839675410530 3164209743162 3651011242110 3691578033689 4259513115795 4746314614743 5111415738954 5273682905270 7383156067378 7910524357905 8519026231590 9492629229486 11074734101067 12778539347385 15821048715810 18457890168445 22149468202134 23731573073715 25557078694770 33224202303201 36915780336890 47463146147430 55373670505335 66448404606402 110747341010670 166121011516005 332242023032010