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13102210320 = 2435220324781
BaseRepresentation
bin11000011001111001…
…11101110100010000
31020211010010020122220
430030330331310100
5203313131212240
610004041501040
7642453643623
oct141474756420
936733106586
1013102210320
1156139465a1
122657aa1780
13130a60a594
148c4173dba
1551a3e15d0
hex30cf3dd10

13102210320 has 80 divisors (see below), whose sum is σ = 40636928832. Its totient is φ = 3492195840.

The previous prime is 13102210249. The next prime is 13102210321. The reversal of 13102210320 is 2301220131.

13102210320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 13102210320.

It is not an unprimeable number, because it can be changed into a prime (13102210321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 516330 + ... + 541110.

Almost surely, 213102210320 is an apocalyptic number.

13102210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102210320 is an abundant number, since it is smaller than the sum of its proper divisors (27534718512).

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

13102210320 is a wasteful number, since it uses less digits than its factorization.

13102210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27000 (or 26994 counting only the distinct ones).

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

Adding to 13102210320 its reverse (2301220131), we get a palindrome (15403430451).

The spelling of 13102210320 in words is "thirteen billion, one hundred two million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2203 4406 6609 8812 11015 13218 17624 22030 24781 26436 33045 35248 44060 49562 52872 66090 74343 88120 99124 105744 123905 132180 148686 176240 198248 247810 264360 297372 371715 396496 495620 528720 594744 743430 991240 1189488 1486860 1982480 2973720 5947440 54592543 109185086 163777629 218370172 272962715 327555258 436740344 545925430 655110516 818888145 873480688 1091850860 1310221032 1637776290 2183701720 2620442064 3275552580 4367403440 6551105160 13102210320