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224113134102 = 231121342115639
BaseRepresentation
bin1101000010111000101…
…1110000101000010110
3210102110211101211000020
43100232023300220112
512132440430242402
6250542310130010
722122506131344
oct3205613605026
9712424354006
10224113134102
1187056026800
1237527050906
1318197baa270
14abc076a994
155c6a3618bc
hex342e2f0a16

224113134102 has 96 divisors (see below), whose sum is σ = 530796913920. Its totient is φ = 62662987200.

The previous prime is 224113134059. The next prime is 224113134131. The reversal of 224113134102 is 201431311422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39740599 + ... + 39746237.

It is an arithmetic number, because the mean of its divisors is an integer number (5529134520).

Almost surely, 2224113134102 is an apocalyptic number.

224113134102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224113134102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265398456960).

224113134102 is an abundant number, since it is smaller than the sum of its proper divisors (306683779818).

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

224113134102 is a wasteful number, since it uses less digits than its factorization.

224113134102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9890 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 224113134102 its reverse (201431311422), we get a palindrome (425544445524).

It can be divided in two parts, 22411 and 3134102, that added together give a palindrome (3156513).

The spelling of 224113134102 in words is "two hundred twenty-four billion, one hundred thirteen million, one hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 3146 4211 4719 5639 8422 9438 11278 12633 16917 25266 33834 46321 54743 62029 73307 92642 109486 124058 138963 146614 164229 186087 219921 277926 328458 372174 439842 509531 602173 682319 806377 1019062 1204346 1364638 1528593 1612754 1806519 2046957 2419131 3057186 3613038 4093914 4838262 6623903 8870147 13247806 17740294 19871709 23745829 26610441 39743418 47491658 53220882 71237487 142474974 261204119 308695777 522408238 617391554 783612357 926087331 1567224714 1852174662 2873245309 3395653547 5746490618 6791307094 8619735927 10186960641 17239471854 20373921282 37352189017 74704378034 112056567051 224113134102