Search a number
-
+
106521024252 = 223311272910459
BaseRepresentation
bin110001100110100100…
…1011101011011111100
3101011221122002200211110
41203031021131123330
53221123340234002
6120533551122020
710460455524006
oct1431511353374
9334848080743
10106521024252
11411a2383145
1218789813310
13a077811c86
145227139376
152b8698ee6c
hex18cd25d6fc

106521024252 has 48 divisors (see below), whose sum is σ = 249463468800. Its totient is φ = 35376485760.

The previous prime is 106521024221. The next prime is 106521024277. The reversal of 106521024252 is 252420125601.

It is a super-2 number, since 2×1065210242522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10179399 + ... + 10189857.

It is an arithmetic number, because the mean of its divisors is an integer number (5197155600).

Almost surely, 2106521024252 is an apocalyptic number.

106521024252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106521024252 is an abundant number, since it is smaller than the sum of its proper divisors (142942444548).

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

106521024252 is a wasteful number, since it uses less digits than its factorization.

106521024252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13506 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 106521024252 its reverse (252420125601), we get a palindrome (358941149853).

The spelling of 106521024252 in words is "one hundred six billion, five hundred twenty-one million, twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 311 622 933 1244 1866 2729 3732 5458 8187 10459 10916 16374 20918 31377 32748 41836 62754 125508 848719 1697438 2546157 3252749 3394876 5092314 6505498 9758247 10184628 13010996 19516494 28542611 39032988 57085222 85627833 114170444 171255666 342511332 8876752021 17753504042 26630256063 35507008084 53260512126 106521024252