Search a number
-
+
103204010234412 = 2232179716710410149
BaseRepresentation
bin10111011101110100001110…
…010111101001001000101100
3111112102012120220211111122200
4113131310032113221020230
5102011343303110000122
61003255133501341500
730511146403604013
oct2735641627511054
9445365526744580
10103204010234412
112a97a63628856a
12b6a9766267890
134578133a5ab89
141b6b15a645a7a
15bde88e5805ac
hex5ddd0e5e922c

103204010234412 has 144 divisors (see below), whose sum is σ = 280741258324800. Its totient is φ = 31852054757376.

The previous prime is 103204010234387. The next prime is 103204010234419. The reversal of 103204010234412 is 214432010402301.

103204010234412 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 4 + 0 + 10 + 234 + 412 = 666.

It is not an unprimeable number, because it can be changed into a prime (103204010234419) 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, 4708714 + ... + 15118862.

It is an arithmetic number, because the mean of its divisors is an integer number (1949592071700).

Almost surely, 2103204010234412 is an apocalyptic number.

103204010234412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103204010234412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140370629162400).

103204010234412 is an abundant number, since it is smaller than the sum of its proper divisors (177537248090388).

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

103204010234412 is a wasteful number, since it uses less digits than its factorization.

103204010234412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10410440 (or 10410435 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103204010234412 its reverse (214432010402301), we get a palindrome (317636020636713).

The spelling of 103204010234412 in words is "one hundred three trillion, two hundred four billion, ten million, two hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 153 167 194 204 291 306 334 388 501 582 612 668 873 1002 1164 1503 1649 1746 2004 2839 3006 3298 3492 4947 5678 6012 6596 8517 9894 11356 14841 16199 17034 19788 25551 29682 32398 34068 48597 51102 59364 64796 97194 102204 145791 194388 275383 291582 550766 583164 826149 1101532 1652298 2478447 3304596 4956894 9913788 10410149 20820298 31230447 41640596 62460894 93691341 124921788 176972533 187382682 353945066 374765364 530917599 707890132 1009784453 1061835198 1592752797 1738494883 2019568906 2123670396 3029353359 3185505594 3476989766 4039137812 5215484649 6058706718 6371011188 6953979532 9088060077 10430969298 12117413436 15646453947 17166335701 18176120154 20861938596 29554413011 31292907894 34332671402 36352240308 51499007103 59108826022 62585815788 68665342804 88663239033 102998014206 118217652044 154497021309 168634003651 177326478066 205996028412 265989717099 308994042618 337268007302 354652956132 505902010953 531979434198 617988085236 674536014604 1011804021906 1063958868396 1517706032859 2023608043812 2866778062067 3035412065718 5733556124134 6070824131436 8600334186201 11467112248268 17200668372402 25801002558603 34401336744804 51602005117206 103204010234412