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332013312012312 = 233271574195901729
BaseRepresentation
bin100101101111101101101111…
…1100001011111000000011000
31121112120011101120101111012100
41023133123133201133000120
5322004201230333343222
63134044450535043400
7126635112245002020
oct11337333741370030
91545504346344170
10332013312012312
1196876067075227
12312a24a2510560
131133494acc2698
145bdb75c61aa80
15285b66514a4ac
hex12df6df85f018

332013312012312 has 96 divisors (see below), whose sum is σ = 1034205858410400. Its totient is φ = 94256736417792.

The previous prime is 332013312012287. The next prime is 332013312012313. The reversal of 332013312012312 is 213210213310233.

332013312012312 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 1 + 331 + 2 + 0 + 12 + 312 = 666.

It is a super-2 number, since 2×3320133120123122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332013312012313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2097871737 + ... + 2098029992.

It is an arithmetic number, because the mean of its divisors is an integer number (10772977691775).

Almost surely, 2332013312012312 is an apocalyptic number.

It is an amenable number.

332013312012312 is an abundant number, since it is smaller than the sum of its proper divisors (702192546398088).

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

332013312012312 is a wasteful number, since it uses less digits than its factorization.

332013312012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195901905 (or 4195901898 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 332013312012312 its reverse (213210213310233), we get a palindrome (545223525322545).

The spelling of 332013312012312 in words is "three hundred thirty-two trillion, thirteen billion, three hundred twelve million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 157 168 252 314 471 504 628 942 1099 1256 1413 1884 2198 2826 3297 3768 4396 5652 6594 8792 9891 11304 13188 19782 26376 39564 79128 4195901729 8391803458 12587705187 16783606916 25175410374 29371312103 33567213832 37763115561 50350820748 58742624206 75526231122 88113936309 100701641496 117485248412 151052462244 176227872618 234970496824 264341808927 302104924488 352455745236 528683617854 658756571453 704911490472 1057367235708 1317513142906 1976269714359 2114734471416 2635026285812 3952539428718 4611296000171 5270052571624 5928809143077 7905078857436 9222592000342 11857618286154 13833888000513 15810157714872 18445184000684 23715236572308 27667776001026 36890368001368 41501664001539 47430473144616 55335552002052 83003328003078 110671104004104 166006656006156 332013312012312