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312141220004112 = 24317735240082259
BaseRepresentation
bin100011011111001000000101…
…0100010011100000100010000
31111221012102001022101012102020
41012332100022202130010100
5311403110204310112422
63023511410305051440
7122514313262644152
oct10676201242340420
91457172038335366
10312141220004112
1190504391207624
122b013087026b80
1310522a383630c5
145711a03a9cad2
15261479963d95c
hex11be40a89c110

312141220004112 has 80 divisors (see below), whose sum is σ = 865493906719680. Its totient is φ = 96585196179456.

The previous prime is 312141220004093. The next prime is 312141220004143. The reversal of 312141220004112 is 211400022141213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2619981562 + ... + 2620100697.

It is an arithmetic number, because the mean of its divisors is an integer number (10818673833996).

Almost surely, 2312141220004112 is an apocalyptic number.

It is an amenable number.

312141220004112 is an abundant number, since it is smaller than the sum of its proper divisors (553352686715568).

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

312141220004112 is a wasteful number, since it uses less digits than its factorization.

312141220004112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240082360 (or 5240082354 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 312141220004112 its reverse (211400022141213), we get a palindrome (523541242145325).

The spelling of 312141220004112 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred twenty million, four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 73 102 136 146 204 219 272 292 408 438 584 816 876 1168 1241 1752 2482 3504 3723 4964 7446 9928 14892 19856 29784 59568 5240082259 10480164518 15720246777 20960329036 31440493554 41920658072 62880987108 83841316144 89081398403 125761974216 178162796806 251523948432 267244195209 356325593612 382526004907 534488390418 712651187224 765052009814 1068976780836 1147578014721 1425302374448 1530104019628 2137953561672 2295156029442 3060208039256 4275907123344 4590312058884 6120416078512 6502942083419 9180624117768 13005884166838 18361248235536 19508826250257 26011768333676 39017652500514 52023536667352 78035305001028 104047073334704 156070610002056 312141220004112