Search a number
-
+
23362231053135 = 35131732801247241
BaseRepresentation
bin1010100111111011100010…
…11110111010101101001111
310001201102000001100212010210
411103331301132322231033
511030231322122200020
6121404243310133503
74630602602311212
oct523756136725517
9101642001325123
1023362231053135
117497959417337
12275390bab1293
1310060836844b0
145aaa4918b779
152a7a8a2de3e0
hex153f717bab4f

23362231053135 has 64 divisors (see below), whose sum is σ = 40502227118976. Its totient is φ = 11430795264000.

The previous prime is 23362231053113. The next prime is 23362231053151. The reversal of 23362231053135 is 53135013226332.

It is not a de Polignac number, because 23362231053135 - 25 = 23362231053103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 23362231053093 and 23362231053102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94368115 + ... + 94615355.

It is an arithmetic number, because the mean of its divisors is an integer number (632847298734).

Almost surely, 223362231053135 is an apocalyptic number.

23362231053135 is a deficient number, since it is larger than the sum of its proper divisors (17139996065841).

23362231053135 is a wasteful number, since it uses less digits than its factorization.

23362231053135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250236.

The product of its (nonzero) digits is 291600, while the sum is 39.

Adding to 23362231053135 its reverse (53135013226332), we get a palindrome (76497244279467).

The spelling of 23362231053135 in words is "twenty-three trillion, three hundred sixty-two billion, two hundred thirty-one million, fifty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 39 65 173 195 519 865 2249 2595 2801 6747 8403 11245 14005 33735 36413 42015 109239 182065 247241 484573 546195 741723 1236205 1453719 2422865 3214133 3708615 6299449 7268595 9642399 16070665 18898347 31497245 42772693 48211995 94491735 128318079 213863465 556045009 641590395 692522041 1668135027 2077566123 2780225045 3462610205 8340675135 9002786533 10387830615 27008359599 45013932665 119806313093 135041797995 359418939279 599031565465 1557482070209 1797094696395 4672446210627 7787410351045 23362231053135