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13102412300 = 2252237321069
BaseRepresentation
bin11000011001111011…
…01111001000001100
31020211010111111201122
430030331233020030
5203313204143200
610004050100112
7642455444525
oct141475571014
936733444648
1013102412300
115613a7431a
122657b7a638
13130a67b4b3
148c41c784c
1551a431385
hex30cf6f20c

13102412300 has 108 divisors (see below), whose sum is σ = 30108541680. Its totient is φ = 4939799040.

The previous prime is 13102412299. The next prime is 13102412311. The reversal of 13102412300 is 321420131.

13102412300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 12256166 + ... + 12257234.

Almost surely, 213102412300 is an apocalyptic number.

13102412300 is a gapful number since it is divisible by the number (10) 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 13102412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054270840).

13102412300 is an abundant number, since it is smaller than the sum of its proper divisors (17006129380).

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

13102412300 is a wasteful number, since it uses less digits than its factorization.

13102412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13102412300 its reverse (321420131), we get a palindrome (13423832431).

The spelling of 13102412300 in words is "thirteen billion, one hundred two million, four hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 73 92 100 115 146 230 292 365 460 575 730 1069 1150 1460 1679 1825 2138 2300 3358 3650 4276 5329 5345 6716 7300 8395 10658 10690 16790 21316 21380 24587 26645 26725 33580 41975 49174 53290 53450 78037 83950 98348 106580 106900 122567 122935 133225 156074 167900 245134 245870 266450 312148 390185 490268 491740 532900 612835 614675 780370 1225670 1229350 1560740 1794851 1950925 2451340 2458700 3064175 3589702 3901850 5696701 6128350 7179404 7803700 8974255 11393402 12256700 17948510 22786804 28483505 35897020 44871275 56967010 89742550 113934020 131024123 142417525 179485100 262048246 284835050 524096492 569670100 655120615 1310241230 2620482460 3275603075 6551206150 13102412300