Search a number
-
+
312032111141043 = 324138310492104741
BaseRepresentation
bin100011011110010101010001…
…1001001001010000010110011
31111220210222102022210200002200
41012330222203021022002303
5311344313230423003133
63023345323431314243
7122503401411626436
oct10674524311120263
91456728368720080
10312032111141043
1190472091095917
122abb5ab681b983
131051566a678677
14570a612da981d
152611a108c1913
hex11bcaa324a0b3

312032111141043 has 48 divisors (see below), whose sum is σ = 463353058022400. Its totient is φ = 202224766233600.

The previous prime is 312032111141041. The next prime is 312032111141059. The reversal of 312032111141043 is 340141111230213.

312032111141043 is a `hidden beast` number, since 3 + 1 + 20 + 3 + 211 + 11 + 410 + 4 + 3 = 666.

It is not a de Polignac number, because 312032111141043 - 21 = 312032111141041 is a prime.

It is a super-2 number, since 2×3120321111410432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312032111140998 and 312032111141016.

It is not an unprimeable number, because it can be changed into a prime (312032111141041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147199653 + ... + 149304393.

It is an arithmetic number, because the mean of its divisors is an integer number (9653188708800).

Almost surely, 2312032111141043 is an apocalyptic number.

312032111141043 is a deficient number, since it is larger than the sum of its proper divisors (151320946881357).

312032111141043 is a wasteful number, since it uses less digits than its factorization.

312032111141043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106220 (or 2106217 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 312032111141043 its reverse (340141111230213), we get a palindrome (652173222371256).

The spelling of 312032111141043 in words is "three hundred twelve trillion, thirty-two billion, one hundred eleven million, one hundred forty-one thousand, forty-three".

Divisors: 1 3 9 41 123 369 383 1049 1149 3147 3447 9441 15703 43009 47109 129027 141327 387081 401767 1205301 2104741 3615903 6314223 16472447 18942669 49417341 86294381 148252023 258883143 776649429 806115803 2207873309 2418347409 6623619927 7255042227 19870859781 33050747923 90522805669 99152243769 271568417007 297456731307 814705251021 845615477347 2536846432041 7610539296123 34670234571227 104010703713681 312032111141043