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220120223303331 = 321310633643485827
BaseRepresentation
bin110010000011001010111011…
…101101111100011010100011
31001212101021202211110011022100
4302003022323231330122203
5212322422204131201311
62100053500134141443
764236106222504101
oct6203127355743243
91055337684404270
10220120223303331
116415650a59460a
12208309354b1883
1395a932bab3110
143c4dc38b14c71
151a6ac737d9a56
hexc832bbb7c6a3

220120223303331 has 48 divisors (see below), whose sum is σ = 342826137262336. Its totient is φ = 135293741719488.

The previous prime is 220120223303293. The next prime is 220120223303347. The reversal of 220120223303331 is 133303322021022.

220120223303331 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 2 + 0 + 2 + 23 + 303 + 331 = 666.

It is not a de Polignac number, because 220120223303331 - 226 = 220120156194467 is a prime.

It is a super-2 number, since 2×2201202233033312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220120223303295 and 220120223303304.

It is not an unprimeable number, because it can be changed into a prime (220120223303381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452840640 + ... + 453326466.

Almost surely, 2220120223303331 is an apocalyptic number.

220120223303331 is a deficient number, since it is larger than the sum of its proper divisors (122705913959005).

220120223303331 is a wasteful number, since it uses less digits than its factorization.

220120223303331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490552 (or 490549 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 220120223303331 its reverse (133303322021022), we get a palindrome (353423545324353).

The spelling of 220120223303331 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred twenty-three million, three hundred three thousand, three hundred thirty-one".

Divisors: 1 3 9 13 39 117 1063 3189 3643 9567 10929 13819 32787 41457 47359 124371 142077 426231 485827 1457481 3872509 4372443 6315751 11617527 18947253 34852581 50342617 56841759 151027851 453083553 516434101 1549302303 1769867761 4647906909 5309603283 6713643313 15928809849 20140929939 23008280893 60422789817 69024842679 207074528037 1881369429943 5644108289829 16932324869487 24457802589259 73373407767777 220120223303331