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13052003610 = 23529731511361
BaseRepresentation
bin11000010011111010…
…11100010100011010
31020200121122111000010
430021331130110122
5203212303103420
65555045422350
7641304125442
oct141175342432
936617574003
1013052003610
115598574548
12264310a9b6
1313000ac079
148bb625122
15515cc54e0
hex309f5c51a

13052003610 has 128 divisors (see below), whose sum is σ = 33090716160. Its totient is φ = 3290112000.

The previous prime is 13052003609. The next prime is 13052003633. The reversal of 13052003610 is 1630025031.

13052003610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 9589330 + ... + 9590690.

It is an arithmetic number, because the mean of its divisors is an integer number (258521220).

Almost surely, 213052003610 is an apocalyptic number.

13052003610 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 13052003610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16545358080).

13052003610 is an abundant number, since it is smaller than the sum of its proper divisors (20038712550).

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

13052003610 is a wasteful number, since it uses less digits than its factorization.

13052003610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 13052003610 its reverse (1630025031), we get a palindrome (14682028641).

The spelling of 13052003610 in words is "thirteen billion, fifty-two million, three thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 73 87 145 146 151 174 219 290 302 365 435 438 453 730 755 870 906 1095 1361 1510 2117 2190 2265 2722 4083 4234 4379 4530 6351 6805 8166 8758 10585 11023 12702 13137 13610 20415 21170 21895 22046 26274 31755 33069 39469 40830 43790 55115 63510 65685 66138 78938 99353 110230 118407 131370 165345 197345 198706 205511 236814 298059 319667 330690 394690 411022 496765 592035 596118 616533 639334 959001 993530 1027555 1184070 1233066 1490295 1598335 1918002 2055110 2881237 2980590 3082665 3196670 4795005 5762474 5959819 6165330 8643711 9590010 11919638 14406185 15002303 17287422 17879457 28812370 29799095 30004606 35758914 43218555 45006909 59598190 75011515 86437110 89397285 90013818 150023030 178794570 225034545 435066787 450069090 870133574 1305200361 2175333935 2610400722 4350667870 6526001805 13052003610