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23300213301313 = 13232411831176597
BaseRepresentation
bin1010100110001000000001…
…11011111110000001000001
310001111110220221000122020121
411103010000323332001001
511023222314101120223
6121315545322340241
74623246002155144
oct523040073760101
9101443827018217
1023300213301313
117473623a78493
1227438a235a681
13100027bba5c20
145a7a4473c05b
152a615a86e15d
hex153100efe041

23300213301313 has 32 divisors (see below), whose sum is σ = 26306671007232. Its totient is φ = 20476094284800.

The previous prime is 23300213301289. The next prime is 23300213301373. The reversal of 23300213301313 is 31310331200332.

It is a cyclic number.

It is not a de Polignac number, because 23300213301313 - 225 = 23300179746881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23300213301373) 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, 131851731 + ... + 132028327.

It is an arithmetic number, because the mean of its divisors is an integer number (822083468976).

Almost surely, 223300213301313 is an apocalyptic number.

23300213301313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23300213301313 is a deficient number, since it is larger than the sum of its proper divisors (3006457705919).

23300213301313 is a wasteful number, since it uses less digits than its factorization.

23300213301313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178705.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 23300213301313 its reverse (31310331200332), we get a palindrome (54610544501645).

The spelling of 23300213301313 in words is "twenty-three trillion, three hundred billion, two hundred thirteen million, three hundred one thousand, three hundred thirteen".

Divisors: 1 13 23 241 299 1831 3133 5543 23803 42113 72059 176597 441271 547469 2295761 4061731 5736523 10149233 42559877 52802503 131940029 323349107 553278401 978877171 4203538391 7437029461 12725403223 77927134787 96681382993 1013052752231 1792324100101 23300213301313