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13201331010 = 2357374793547
BaseRepresentation
bin11000100101101110…
…00101001101000010
31021002000122002200120
430102313011031002
5204014020043020
610021542201110
7645066314340
oct142267051502
937060562616
1013201331010
11566489741a
122685123196
131325003a8a
148d33b6990
15523e70740
hex312dc5342

13201331010 has 128 divisors (see below), whose sum is σ = 37276139520. Its totient is φ = 2928939264.

The previous prime is 13201330981. The next prime is 13201331071. The reversal of 13201331010 is 1013310231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3720057 + ... + 3723603.

It is an arithmetic number, because the mean of its divisors is an integer number (291219840).

Almost surely, 213201331010 is an apocalyptic number.

13201331010 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 13201331010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638069760).

13201331010 is an abundant number, since it is smaller than the sum of its proper divisors (24074808510).

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

13201331010 is a wasteful number, since it uses less digits than its factorization.

13201331010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13201331010 its reverse (1013310231), we get a palindrome (14214641241).

The spelling of 13201331010 in words is "thirteen billion, two hundred one million, three hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 479 518 555 777 958 1110 1295 1437 1554 2395 2590 2874 3353 3547 3885 4790 6706 7094 7185 7770 10059 10641 14370 16765 17723 17735 20118 21282 24829 33530 35446 35470 49658 50295 53169 53205 74487 88615 100590 106338 106410 124061 124145 131239 148974 177230 248122 248290 262478 265845 372183 372435 393717 531690 620305 656195 744366 744870 787434 918673 1240610 1312390 1699013 1837346 1860915 1968585 2756019 3398026 3721830 3937170 4593365 5097039 5512038 8495065 9186730 10194078 11893091 13780095 16990130 23786182 25485195 27560190 35679273 50970390 59465455 62863481 71358546 118930910 125726962 178396365 188590443 314317405 356792730 377180886 440044367 628634810 880088734 942952215 1320133101 1885904430 2200221835 2640266202 4400443670 6600665505 13201331010