Search a number
-
+
13106034304 = 271167313831
BaseRepresentation
bin11000011010010111…
…00011011010000000
31020211101022112011221
430031023203122000
5203320121044204
610004255444424
7642531311356
oct141513433200
936741275157
1013106034304
115616018610
122659226714
13130b348cac
148c488b7d6
1551a8e9654
hex30d2e3680

13106034304 has 64 divisors (see below), whose sum is σ = 28527670080. Its totient is φ = 5948006400.

The previous prime is 13106034299. The next prime is 13106034307. The reversal of 13106034304 is 40343060131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13106034307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 940669 + ... + 954499.

It is an arithmetic number, because the mean of its divisors is an integer number (445744845).

Almost surely, 213106034304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14263835040).

13106034304 is an abundant number, since it is smaller than the sum of its proper divisors (15421635776).

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

13106034304 is a wasteful number, since it uses less digits than its factorization.

13106034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14529 (or 14517 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13106034304 its reverse (40343060131), we get a palindrome (53449094435).

The spelling of 13106034304 in words is "thirteen billion, one hundred six million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 673 704 1346 1408 2692 5384 7403 10768 13831 14806 21536 27662 29612 43072 55324 59224 86144 110648 118448 152141 221296 236896 304282 442592 473792 608564 885184 947584 1217128 1770368 2434256 4868512 9308263 9737024 18616526 19474048 37233052 74466104 102390893 148932208 204781786 297864416 409563572 595728832 819127144 1191457664 1638254288 3276508576 6553017152 13106034304