Search a number
-
+
13101332322 = 23131133833881
BaseRepresentation
bin11000011001110011…
…00111011101100010
31020211001110122021110
430030321213131202
5203312420113242
610004011004150
7642443326101
oct141471473542
936731418243
1013101332322
1156133a6981
122657739656
13130a390a60
148c3dc6038
1551a2bb39c
hex30ce67762

13101332322 has 64 divisors (see below), whose sum is σ = 28549656576. Its totient is φ = 3984046080.

The previous prime is 13101332317. The next prime is 13101332323. The reversal of 13101332322 is 22323310131.

It is a super-2 number, since 2×131013323222 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13101332323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3373822 + ... + 3377702.

It is an arithmetic number, because the mean of its divisors is an integer number (446088384).

Almost surely, 213101332322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101332322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274828288).

13101332322 is an abundant number, since it is smaller than the sum of its proper divisors (15448324254).

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

13101332322 is a wasteful number, since it uses less digits than its factorization.

13101332322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13101332322 its reverse (22323310131), we get a palindrome (35424642453).

The spelling of 13101332322 in words is "thirteen billion, one hundred one million, three hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 383 678 766 1149 1469 2298 2938 3881 4407 4979 7762 8814 9958 11643 14937 23286 29874 43279 50453 86558 100906 129837 151359 259674 302718 438553 562627 877106 1125254 1315659 1486423 1687881 2631318 2972846 3375762 4459269 5701189 8918538 11402378 17103567 19323499 34207134 38646998 57970497 115940994 167965799 335931598 503897397 1007794794 2183555387 4367110774 6550666161 13101332322