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245055120313131 = 33172233493912451
BaseRepresentation
bin110111101110000001010111…
…011001011000101100101011
31012010200001002200021020002000
4313232001113121120230223
5224104440341300010011
62225104433525542043
7102421435220151042
oct6756012731305453
91163601080236060
10245055120313131
117109a32492aa77
12235993a7b74923
13a6977a24227ab
144472a34235559
151d4e6a5642356
hexdee057658b2b

245055120313131 has 96 divisors (see below), whose sum is σ = 403577248704000. Its totient is φ = 146653399411200.

The previous prime is 245055120313127. The next prime is 245055120313151. The reversal of 245055120313131 is 131313021550542.

It is a happy number.

245055120313131 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 5 + 512 + 0 + 3 + 1 + 3 + 131 = 666.

It is not a de Polignac number, because 245055120313131 - 22 = 245055120313127 is a prime.

It is a super-2 number, since 2×2450551203131312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245055120313151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60678456 + ... + 64590906.

It is an arithmetic number, because the mean of its divisors is an integer number (4203929674000).

Almost surely, 2245055120313131 is an apocalyptic number.

245055120313131 is a deficient number, since it is larger than the sum of its proper divisors (158522128390869).

245055120313131 is a wasteful number, since it uses less digits than its factorization.

245055120313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912866 (or 3912843 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 245055120313131 its reverse (131313021550542), we get a palindrome (376368141863673).

The spelling of 245055120313131 in words is "two hundred forty-five trillion, fifty-five billion, one hundred twenty million, three hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 17 23 27 51 69 153 207 289 349 391 459 621 867 1047 1173 2601 3141 3519 5933 6647 7803 8027 9423 10557 17799 19941 24081 53397 59823 72243 100861 136459 160191 179469 216729 302583 409377 907749 1228131 2319803 2723247 3684393 3912451 6959409 11737353 20878227 35212059 62634681 66511667 89986373 105636177 199535001 269959119 598605003 809877357 1130698339 1365445399 1529768341 1795815009 2429632071 3392095017 4096336197 4589305023 10176285051 12289008591 13767915069 23212571783 26006061797 30528855153 31405244177 36867025773 41303745207 69637715349 78018185391 94215732531 208913146047 234054556173 282647197593 394613720311 533889151009 626739438141 702163668519 847941592779 1183841160933 1601667453027 3551523482799 4805002359081 9076115567153 10654570448397 14415007077243 27228346701459 81685040104377 245055120313131