Search a number
-
+
42103131303222 = 232114121193106033
BaseRepresentation
bin10011001001010111001100…
…01011110110110100110110
312112002000112121111220000200
421210223212023312310312
521004304203103200342
6225313524515021330
711603564562132153
oct1144534613666466
9175060477456020
1042103131303222
1112462923aa3460
12487ba5159a846
131a654012a67c2
14a57b33c1122a
154d02ebcb294c
hex264ae62f6d36

42103131303222 has 144 divisors (see below), whose sum is σ = 102089388448944. Its totient is φ = 12436790169600.

The previous prime is 42103131303203. The next prime is 42103131303251. The reversal of 42103131303222 is 22230313130124.

42103131303222 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 3 + 131 + 303 + 222 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 397022718 + ... + 397128750.

It is an arithmetic number, because the mean of its divisors is an integer number (708954086451).

Almost surely, 242103131303222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42103131303222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51044694224472).

42103131303222 is an abundant number, since it is smaller than the sum of its proper divisors (59986257145722).

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

42103131303222 is a wasteful number, since it uses less digits than its factorization.

42103131303222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107327 (or 107283 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 42103131303222 its reverse (22230313130124), we get a palindrome (64333444433346).

The spelling of 42103131303222 in words is "forty-two trillion, one hundred three billion, one hundred thirty-one million, three hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1193 1353 1681 2386 2706 3362 3579 4059 5043 7158 8118 10086 10737 13123 15129 18491 21474 26246 30258 36982 39369 48913 55473 78738 97826 106033 110946 118107 146739 166419 212066 236214 293478 318099 332838 440217 538043 636198 880434 954297 1076086 1166363 1614129 1908594 2005433 2332726 3228258 3499089 4010866 4347353 4842387 6016299 6998178 8694706 9684774 10497267 12032598 13042059 18048897 20994534 22059763 26084118 36097794 39126177 44119526 47820883 66179289 78252354 95641766 126497369 132358578 143462649 178241473 198537867 252994738 286925298 356482946 379492107 397075734 430387947 534724419 758984214 860775894 1069448838 1138476321 1391471059 1604173257 1960656203 2276952642 2782942118 3208346514 3921312406 4174413177 5186392129 5881968609 8348826354 10372784258 11763937218 12523239531 15559176387 17645905827 25046479062 31118352774 35291811654 46677529161 57050313419 93355058322 114100626838 171150940257 212642077289 342301880514 425284154578 513452820771 637926231867 1026905641542 1275852463734 1913778695601 2339062850179 3827557391202 4678125700358 7017188550537 14034377101074 21051565651611 42103131303222