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103314034234242 = 2321317101257142089
BaseRepresentation
bin10111011111011010101100…
…010011111001001110000010
3111112210201120200101210121100
4113133122230103321032002
5102020144120230443432
61003421451225435230
730522123036302556
oct2737325423711602
9445721520353540
10103314034234242
112aa12265a30047
12b706b5103bb16
13458561920b960
141b725d6ab5866
15be267d81907c
hex5df6ac4f9382

103314034234242 has 96 divisors (see below), whose sum is σ = 257773630973040. Its totient is φ = 29622768537600.

The previous prime is 103314034234237. The next prime is 103314034234337. The reversal of 103314034234242 is 242432430413301.

103314034234242 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 40 + 342 + 34 + 242 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 64917682236801 + 38396351997441 = 8057151^2 + 6196479^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103314034234197 and 103314034234206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128169267 + ... + 128972822.

Almost surely, 2103314034234242 is an apocalyptic number.

103314034234242 is an abundant number, since it is smaller than the sum of its proper divisors (154459596738798).

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

103314034234242 is a wasteful number, since it uses less digits than its factorization.

103314034234242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257142228 (or 257142225 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 103314034234242 its reverse (242432430413301), we get a palindrome (345746464647543).

The spelling of 103314034234242 in words is "one hundred three trillion, three hundred fourteen billion, thirty-four million, two hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 101 102 117 153 202 221 234 303 306 442 606 663 909 1313 1326 1717 1818 1989 2626 3434 3939 3978 5151 7878 10302 11817 15453 22321 23634 30906 44642 66963 133926 200889 401778 257142089 514284178 771426267 1542852534 2314278801 3342847157 4371415513 4628557602 6685694314 8742831026 10028541471 13114246539 20057082942 25971350989 26228493078 30085624413 39342739617 51942701978 56828401669 60171248826 77914052967 78685479234 113656803338 155828105934 170485205007 233742158901 337627562857 340970410014 441512966813 467484317802 511455615021 675255125714 883025933626 1012882688571 1022911230042 1324538900439 2025765377142 2649077800878 3038648065713 3973616701317 5739668568569 6077296131426 7947233402634 11479337137138 17219005705707 34438011411414 51657017117121 103314034234242