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13102220310 = 235737975731
BaseRepresentation
bin11000011001111010…
…00000010000010110
31020211010010202100220
430030331000100112
5203313132022220
610004042015210
7642454015014
oct141475002026
936733122326
1013102220310
115613953053
122657aa7506
13130a611caa
148c41778b4
1551a3e4540
hex30cf40416

13102220310 has 64 divisors (see below), whose sum is σ = 32280007680. Its totient is φ = 3402397440.

The previous prime is 13102220293. The next prime is 13102220333. The reversal of 13102220310 is 1302220131.

It is a super-2 number, since 2×131022203102 (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 self number, because there is not a number n which added to its sum of digits gives 13102220310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135145 + ... + 210875.

It is an arithmetic number, because the mean of its divisors is an integer number (504375120).

Almost surely, 213102220310 is an apocalyptic number.

13102220310 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 13102220310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140003840).

13102220310 is an abundant number, since it is smaller than the sum of its proper divisors (19177787370).

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

13102220310 is a wasteful number, since it uses less digits than its factorization.

13102220310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75893.

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

Adding to 13102220310 its reverse (1302220131), we get a palindrome (14404440441).

The spelling of 13102220310 in words is "thirteen billion, one hundred two million, two hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 79 146 158 219 237 365 395 438 474 730 790 1095 1185 2190 2370 5767 11534 17301 28835 34602 57670 75731 86505 151462 173010 227193 378655 454386 757310 1135965 2271930 5528363 5982749 11056726 11965498 16585089 17948247 27641815 29913745 33170178 35896494 55283630 59827490 82925445 89741235 165850890 179482470 436740677 873481354 1310222031 2183703385 2620444062 4367406770 6551110155 13102220310