Search a number
-
+
1313402056110 = 2325531021269683
BaseRepresentation
bin10011000111001100110…
…111001110110110101110
311122120010020200102222200
4103013030313032312232
5133004321411243420
62443211340122330
7163614220163304
oct23071467166656
94576106612880
101313402056110
11467013247321
121926678363a6
1396b1287a561
14477d7492274
15242707e4b90
hex131ccdcedae

1313402056110 has 96 divisors (see below), whose sum is σ = 3482697018528. Its totient is φ = 343294398720.

The previous prime is 1313402056103. The next prime is 1313402056147. The reversal of 1313402056110 is 116502043131.

It is a happy number.

1313402056110 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 40 + 2 + 0 + 5 + 611 + 0 = 666.

It is a congruent number.

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, 4735329 + ... + 5005011.

It is an arithmetic number, because the mean of its divisors is an integer number (36278093943).

Almost surely, 21313402056110 is an apocalyptic number.

1313402056110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313402056110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741348509264).

1313402056110 is an abundant number, since it is smaller than the sum of its proper divisors (2169294962418).

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

1313402056110 is a wasteful number, since it uses less digits than its factorization.

1313402056110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270770 (or 270767 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1313402056110 its reverse (116502043131), we get a palindrome (1429904099241).

The spelling of 1313402056110 in words is "one trillion, three hundred thirteen billion, four hundred two million, fifty-six thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1021 1590 2042 2385 3063 4770 5105 6126 9189 10210 15315 18378 30630 45945 54113 91890 108226 162339 269683 270565 324678 487017 539366 541130 809049 811695 974034 1348415 1618098 1623390 2427147 2435085 2696830 4045245 4854294 4870170 8090490 12135735 14293199 24271470 28586398 42879597 71465995 85759194 128638791 142931990 214397985 257277582 275346343 428795970 550692686 643193955 826039029 1286387910 1376731715 1652078058 2478117087 2753463430 4130195145 4956234174 8260390290 12390585435 14593356179 24781170870 29186712358 43780068537 72966780895 87560137074 131340205611 145933561790 218900342685 262680411222 437800685370 656701028055 1313402056110