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1313130210030 = 2325292711856513
BaseRepresentation
bin10011000110111100101…
…010001110001011101110
311122112102022011020021100
4103012330222032023232
5133003242313210110
62443124345343530
7163604406423162
oct23067452161356
94575368136240
101313130210030
11466993852341
121925b0797ba6
1396a9b4593a2
14477ad32aca2
15242569e7bc0
hex131bca8e2ee

1313130210030 has 96 divisors (see below), whose sum is σ = 3544902092160. Its totient is φ = 336845537280.

The previous prime is 1313130210013. The next prime is 1313130210071. The reversal of 1313130210030 is 300120313131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1313130209985 and 1313130210012.

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, 220947 + ... + 1635566.

It is an arithmetic number, because the mean of its divisors is an integer number (36926063460).

Almost surely, 21313130210030 is an apocalyptic number.

1313130210030 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 1313130210030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772451046080).

1313130210030 is an abundant number, since it is smaller than the sum of its proper divisors (2231771882130).

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

1313130210030 is a wasteful number, since it uses less digits than its factorization.

1313130210030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856826 (or 1856823 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313130210030 its reverse (300120313131), we get a palindrome (1613250523161).

The spelling of 1313130210030 in words is "one trillion, three hundred thirteen billion, one hundred thirty million, two hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 271 290 435 522 542 813 870 1305 1355 1626 2439 2610 2710 4065 4878 7859 8130 12195 15718 23577 24390 39295 47154 70731 78590 117885 141462 235770 353655 707310 1856513 3713026 5569539 9282565 11139078 16708617 18565130 27847695 33417234 53838877 55695390 83543085 107677754 161516631 167086170 269194385 323033262 484549893 503115023 538388770 807583155 969099786 1006230046 1509345069 1615166310 2422749465 2515575115 3018690138 4528035207 4845498930 5031150230 7546725345 9056070414 14590335667 15093450690 22640176035 29180671334 43771007001 45280352070 72951678335 87542014002 131313021003 145903356670 218855035005 262626042006 437710070010 656565105015 1313130210030