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312404132303043 = 311267157421119429
BaseRepresentation
bin100011100001000010100000…
…1010101010001000011000011
31111222010112200010020210202020
41013002011001111101003003
5311421412130332144133
63024232251020052523
7122542311425422254
oct10702050125210303
91458115603223666
10312404132303043
11905a5937365100
122b05601b994143
1310541777598261
14572062532ab2b
15261b535d340b3
hex11c21415510c3

312404132303043 has 96 divisors (see below), whose sum is σ = 467776925441280. Its totient is φ = 185268423225600.

The previous prime is 312404132303017. The next prime is 312404132303083. The reversal of 312404132303043 is 340303231404213.

It is a happy number.

It is not a de Polignac number, because 312404132303043 - 230 = 312403058561219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 312404132302995 and 312404132303013.

It is not an unprimeable number, because it can be changed into a prime (312404132303083) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16079260053 + ... + 16079279481.

It is an arithmetic number, because the mean of its divisors is an integer number (4872676306680).

Almost surely, 2312404132303043 is an apocalyptic number.

312404132303043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

312404132303043 is a deficient number, since it is larger than the sum of its proper divisors (155372793138237).

312404132303043 is a wasteful number, since it uses less digits than its factorization.

312404132303043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23889 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 312404132303043 its reverse (340303231404213), we get a palindrome (652707363707256).

The spelling of 312404132303043 in words is "three hundred twelve trillion, four hundred four billion, one hundred thirty-two million, three hundred three thousand, forty-three".

Divisors: 1 3 11 33 67 121 157 201 363 471 737 1727 2211 4211 5181 8107 10519 12633 18997 19429 24321 31557 46321 56991 58287 115709 138963 213719 282137 347127 509531 641157 661127 846411 1272799 1301743 1528593 1983381 2350909 3050353 3103507 3818397 3905229 7052727 7272397 9151059 9310521 14319173 21817191 33553883 34138577 42957519 44295509 79996367 81815519 100661649 102415731 132886527 157510903 204373651 239989101 245446557 369092713 472532709 487250599 613120953 899970709 1107278139 1461751797 2248110161 2699912127 5359756589 5481639773 6744330483 9899677799 12845036483 16079269767 16444919319 24729211771 29699033397 38535109449 60298037503 74187635313 141295401313 180894112509 423886203939 663278412533 860617444361 1554249414443 1989835237599 2581852333083 4662748243329 9466791887971 28400375663913 104134710767681 312404132303043