Search a number
-
+
93240271212 = 223111751198117
BaseRepresentation
bin101011011010110001…
…1011010000101101100
322220200002000112121020
41112311203122011230
53011424002134322
6110500050334140
76510403141254
oct1266543320554
9286602015536
1093240271212
11365a777a890
12160a1b8a350
138a3c220c1a
1447273aa964
15265aa8205c
hex15b58da16c

93240271212 has 96 divisors (see below), whose sum is σ = 251380039680. Its totient is φ = 26584120320.

The previous prime is 93240271199. The next prime is 93240271217. The reversal of 93240271212 is 21217204239.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (93240271217) by changing a digit.

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, 11482978 + ... + 11491094.

It is an arithmetic number, because the mean of its divisors is an integer number (2618542080).

Almost surely, 293240271212 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 93240271212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125690019840).

93240271212 is an abundant number, since it is smaller than the sum of its proper divisors (158139768468).

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

93240271212 is a wasteful number, since it uses less digits than its factorization.

93240271212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13271 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

It can be divided in two parts, 9324027 and 1212, that added together give a palindrome (9325239).

The spelling of 93240271212 in words is "ninety-three billion, two hundred forty million, two hundred seventy-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 5119 8117 10238 15357 16234 20476 24351 30714 32468 48702 56309 61428 87023 89287 97404 112618 137989 168927 174046 178574 225236 261069 267861 275978 337854 348092 357148 413967 522138 535722 551956 675708 827934 957253 1044276 1071444 1517879 1655868 1914506 2871759 3035758 3829012 4553637 5743518 6071516 9107274 11487036 18214548 41550923 83101846 124652769 166203692 249305538 457060153 498611076 706365691 914120306 1371180459 1412731382 1828240612 2119097073 2742360918 2825462764 4238194146 5484721836 7770022601 8476388292 15540045202 23310067803 31080090404 46620135606 93240271212