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13202201310 = 2354127139607
BaseRepresentation
bin11000100101110100…
…11001101011011110
31021002002021022111220
430102322121223132
5204014230420220
610022012554210
7645106600554
oct142272315336
937062238456
1013202201310
115665331281
122685482966
131325249c4c
148d3561bd4
15524093540
hex312e99ade

13202201310 has 64 divisors (see below), whose sum is σ = 32578689024. Its totient is φ = 3421958400.

The previous prime is 13202201231. The next prime is 13202201339. The reversal of 13202201310 is 1310220231.

It is a super-2 number, since 2×132022013102 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13202201310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313527 + ... + 353133.

It is an arithmetic number, because the mean of its divisors is an integer number (509042016).

Almost surely, 213202201310 is an apocalyptic number.

13202201310 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 13202201310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289344512).

13202201310 is an abundant number, since it is smaller than the sum of its proper divisors (19376487714).

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

13202201310 is a wasteful number, since it uses less digits than its factorization.

13202201310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39929.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13202201310 its reverse (1310220231), we get a palindrome (14512421541).

The spelling of 13202201310 in words is "thirteen billion, two hundred two million, two hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 8130 11111 22222 33333 39607 55555 66666 79214 111110 118821 166665 198035 237642 333330 396070 594105 1188210 1623887 3247774 4871661 8119435 9743322 10733497 16238870 21466994 24358305 32200491 48716610 53667485 64400982 107334970 161002455 322004910 440073377 880146754 1320220131 2200366885 2640440262 4400733770 6601100655 13202201310