Search a number
-
+
23310144101332 = 22117313752972303
BaseRepresentation
bin1010100110011010100001…
…10110111101101111010100
310001112102120000120112211201
411103031100312331233110
511023403133342220312
6121324310554042244
74624050046444654
oct523152066755724
9101472500515751
1023310144101332
11747785a718530
1227457b4119384
1310011a2444a5a
145a830760a364
152a653c60d557
hex153350dbdbd4

23310144101332 has 48 divisors (see below), whose sum is σ = 45440066149632. Its totient is φ = 10374095623680.

The previous prime is 23310144101327. The next prime is 23310144101333.

23310144101332 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23310144101332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23310144101333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26046108 + ... + 26926195.

It is an arithmetic number, because the mean of its divisors is an integer number (946668044784).

Almost surely, 223310144101332 is an apocalyptic number.

23310144101332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23310144101332 is a deficient number, since it is larger than the sum of its proper divisors (22129922048300).

23310144101332 is a wasteful number, since it uses less digits than its factorization.

23310144101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52972528 (or 52972526 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 2331014 and 4101332, that added together give a palindrome (6432346).

The spelling of 23310144101332 in words is "twenty-three trillion, three hundred ten billion, one hundred forty-four million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 4 11 22 44 73 137 146 274 292 548 803 1507 1606 3014 3212 6028 10001 20002 40004 110011 220022 440044 52972303 105944606 211889212 582695333 1165390666 2330781332 3866978119 7257205511 7733956238 14514411022 15467912476 29028822044 42536759309 79829260621 85073518618 159658521242 170147037236 319317042484 529776002303 1059552004606 2119104009212 5827536025333 11655072050666 23310144101332