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243132335512 = 231161257176237
BaseRepresentation
bin1110001001101111010…
…0010000010110011000
3212020120022101100112021
43202123310100112120
512440413334214022
6303405441424224
723365021516213
oct3423364202630
9766508340467
10243132335512
1194125957280
123b15463b074
1319c0930b7b1
14baa66a277a
1564cee407c7
hex389bd10598

243132335512 has 64 divisors (see below), whose sum is σ = 507438548640. Its totient is φ = 108279398400.

The previous prime is 243132335503. The next prime is 243132335591. The reversal of 243132335512 is 215533231342.

243132335512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2431323355122 (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 15 ways as a sum of consecutive naturals, for example, 1291458 + ... + 1467694.

Almost surely, 2243132335512 is an apocalyptic number.

243132335512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243132335512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253719274320).

243132335512 is an abundant number, since it is smaller than the sum of its proper divisors (264306213128).

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

243132335512 is a wasteful number, since it uses less digits than its factorization.

243132335512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176572 (or 176568 counting only the distinct ones).

The product of its digits is 64800, while the sum is 34.

Adding to 243132335512 its reverse (215533231342), we get a palindrome (458665566854).

The spelling of 243132335512 in words is "two hundred forty-three billion, one hundred thirty-two million, three hundred thirty-five thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 257 488 514 671 1028 1342 2056 2684 2827 5368 5654 11308 15677 22616 31354 62708 125416 172447 176237 344894 352474 689788 704948 1379576 1409896 1938607 3877214 7754428 10750457 15508856 21500914 43001828 45292909 86003656 90585818 118255027 181171636 236510054 362343272 473020108 498221999 946040216 996443998 1992887996 2762867449 3985775992 5525734898 11051469796 22102939592 30391541939 60783083878 121566167756 243132335512