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20313120305135 = 572292858989487
BaseRepresentation
bin1001001111001100001000…
…10100011110111111101111
32122220220201021120002111002
410213212010110132333233
510130302232244231020
6111111415120550515
74164401025503600
oct447460424367757
978826637502432
1020313120305135
116521822939819
12234099aa8243b
13b446993b70b8
14503235ac3da7
152535ce30c975
hex12798451efef

20313120305135 has 24 divisors (see below), whose sum is σ = 29333232146880. Its totient is φ = 13448686542144.

The previous prime is 20313120305129. The next prime is 20313120305141. The reversal of 20313120305135 is 53150302131302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20313120305129) and next prime (20313120305141).

It is not a de Polignac number, because 20313120305135 - 212 = 20313120301039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 20313120305098 and 20313120305107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1429487639 + ... + 1429501848.

It is an arithmetic number, because the mean of its divisors is an integer number (1222218006120).

Almost surely, 220313120305135 is an apocalyptic number.

20313120305135 is a deficient number, since it is larger than the sum of its proper divisors (9020111841745).

20313120305135 is a wasteful number, since it uses less digits than its factorization.

20313120305135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858989535 (or 2858989528 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 20313120305135 its reverse (53150302131302), we get a palindrome (73463422436437).

The spelling of 20313120305135 in words is "twenty trillion, three hundred thirteen billion, one hundred twenty million, three hundred five thousand, one hundred thirty-five".

Divisors: 1 5 7 29 35 49 145 203 245 1015 1421 7105 2858989487 14294947435 20012926409 82910695123 100064632045 140090484863 414553475615 580374865861 700452424315 2901874329305 4062624061027 20313120305135