Search a number
-
+
312215105340012 = 223747915091514187
BaseRepresentation
bin100011011111101010011111…
…0011100101000001001101100
31111221110110202111200011011110
41012333110332130220021230
5311410313013431340022
63024005350032152020
7122522540235641550
oct10677247634501154
91457413674604143
10312215105340012
1190532756595aa6
122b025467098610
13105299b1722b84
1457154126db860
152616670dc500c
hex11bf53e72826c

312215105340012 has 96 divisors (see below), whose sum is σ = 834368671825920. Its totient is φ = 89012013641280.

The previous prime is 312215105340011. The next prime is 312215105340013. The reversal of 312215105340012 is 210043501512213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312215105340011) and next prime (312215105340013).

It is not an unprimeable number, because it can be changed into a prime (312215105340011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606944383 + ... + 607458569.

It is an arithmetic number, because the mean of its divisors is an integer number (8691340331520).

Almost surely, 2312215105340012 is an apocalyptic number.

It is an amenable number.

312215105340012 is an abundant number, since it is smaller than the sum of its proper divisors (522153566485908).

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

312215105340012 is a wasteful number, since it uses less digits than its factorization.

312215105340012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529771 (or 529769 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 312215105340012 its reverse (210043501512213), we get a palindrome (522258606852225).

The spelling of 312215105340012 in words is "three hundred twelve trillion, two hundred fifteen billion, one hundred five million, three hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 479 958 1437 1916 2874 3353 5748 6706 10059 13412 15091 20118 30182 40236 45273 60364 90546 105637 181092 211274 316911 422548 514187 633822 1028374 1267644 1542561 2056748 3085122 3599309 6170244 7198618 7228589 10797927 14397236 14457178 21595854 21685767 28914356 43191708 43371534 50600123 86743068 101200246 151800369 202400492 246295573 303600738 492591146 607201476 738886719 985182292 1477773438 1724069011 2955546876 3448138022 5172207033 6896276044 7759596017 10344414066 15519192034 20688828132 23278788051 31038384068 46557576102 54317172119 93115152204 108634344238 162951516357 217268688476 325903032714 651806065428 3716846492143 7433692984286 11150539476429 14867385968572 22301078952858 26017925445001 44602157905716 52035850890002 78053776335003 104071701780004 156107552670006 312215105340012