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13013311030230 = 2357474397299857
BaseRepresentation
bin1011110101011110010111…
…0010000000001111010110
31201002001122000112221000010
42331113211302000033112
53201202230110431410
643402122122101050
72512115656445610
oct275274562001726
951061560487003
1013013311030230
114167a06902825
12156209764a786
137351c461a674
1432dbc1bd5db0
1517878d075c20
hexbd5e5c803d6

13013311030230 has 128 divisors (see below), whose sum is σ = 36461504581632. Its totient is φ = 2910512683008.

The previous prime is 13013311030199. The next prime is 13013311030327. The reversal of 13013311030230 is 3203011331031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13013311030197 and 13013311030206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43248462 + ... + 43548318.

It is an arithmetic number, because the mean of its divisors is an integer number (284855504544).

Almost surely, 213013311030230 is an apocalyptic number.

13013311030230 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 13013311030230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18230752290816).

13013311030230 is an abundant number, since it is smaller than the sum of its proper divisors (23448193551402).

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

13013311030230 is a wasteful number, since it uses less digits than its factorization.

13013311030230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304318.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13013311030230 its reverse (3203011331031), we get a palindrome (16216322361261).

The spelling of 13013311030230 in words is "thirteen trillion, thirteen billion, three hundred eleven million, thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 4397 4935 8794 9870 13191 21985 26382 30779 43970 61558 65955 92337 131910 153895 184674 206659 299857 307790 413318 461685 599714 619977 899571 923370 1033295 1239954 1446613 1499285 1799142 2066590 2098999 2893226 2998570 3099885 4197998 4339839 4497855 6199770 6296997 7233065 8679678 8995710 10494995 12593994 14093279 14466130 20989990 21699195 28186558 31484985 42279837 43398390 62969970 70466395 84559674 98652953 140932790 197305906 211399185 295958859 422798370 493264765 591917718 986529530 1318471229 1479794295 2636942458 2959588590 3955413687 6592356145 7910827374 9229298603 13184712290 18458597206 19777068435 27687895809 39554136870 46146493015 55375791618 61968147763 92292986030 123936295526 138439479045 185904443289 276878958090 309840738815 371808886578 433777034341 619681477630 867554068682 929522216445 1301331103023 1859044432890 2168885171705 2602662206046 4337770343410 6506655515115 13013311030230