Search a number
-
+
312332424013020 = 2235121431729924781
BaseRepresentation
bin100011100000100001000111…
…1001011110110010011011100
31111221212200120122110020111210
41013001002033023312103130
5311414223301021404040
63024135311302344420
7122534162426132235
oct10701021713662334
91457780518406453
10312332424013020
11905784899584a4
122b044148a2b110
1310537a8a260c08
14571ad818b208c
15261973a783480
hex11c108f2f64dc

312332424013020 has 96 divisors (see below), whose sum is σ = 874688659891200. Its totient is φ = 83273612647680.

The previous prime is 312332424012823. The next prime is 312332424013031. The reversal of 312332424013020 is 20310424233213.

It is a happy number.

It is a super-2 number, since 2×3123324240130202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12603693030 + ... + 12603717810.

It is an arithmetic number, because the mean of its divisors is an integer number (9111340207200).

Almost surely, 2312332424013020 is an apocalyptic number.

312332424013020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312332424013020 is an abundant number, since it is smaller than the sum of its proper divisors (562356235878180).

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

312332424013020 is a wasteful number, since it uses less digits than its factorization.

312332424013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54235 (or 54233 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 312332424013020 its reverse (20310424233213), we get a palindrome (332642848246233).

The spelling of 312332424013020 in words is "three hundred twelve trillion, three hundred thirty-two billion, four hundred twenty-four million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 12143 17299 24286 24781 34598 36429 48572 49562 51897 60715 69196 72858 74343 86495 99124 103794 121430 123905 145716 148686 172990 182145 207588 242860 247810 259485 297372 345980 364290 371715 495620 518970 728580 743430 1037940 1486860 210061757 300915683 420123514 428686519 601831366 630185271 840247028 857373038 902747049 1050308785 1203662732 1260370542 1286059557 1504578415 1714746076 1805494098 2100617570 2143432595 2520741084 2572119114 3009156830 3150926355 3610988196 4201235140 4286865190 4513735245 5144238228 6018313660 6301852710 6430297785 8573730380 9027470490 12603705420 12860595570 18054940980 25721191140 5205540400217 10411080800434 15616621200651 20822161600868 26027702001085 31233242401302 52055404002170 62466484802604 78083106003255 104110808004340 156166212006510 312332424013020