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345355553331 = 3238998644831
BaseRepresentation
bin1010000011010001100…
…10111000101000110011
31020000102102101212021200
411001220302320220303
521124242010201311
6422353144022243
733644142524265
oct5015062705063
91200372355250
10345355553331
1112351222a878
1256b22a61983
132674a5bb829
1412a02ac5b35
158eb4431556
hex5068cb8a33

345355553331 has 12 divisors (see below), whose sum is σ = 500129298240. Its totient is φ = 229645164240.

The previous prime is 345355553327. The next prime is 345355553341. The reversal of 345355553331 is 133355553543.

345355553331 is a `hidden beast` number, since 3 + 4 + 5 + 35 + 55 + 533 + 31 = 666.

It is not a de Polignac number, because 345355553331 - 22 = 345355553327 is a prime.

It is a super-2 number, since 2×3453555533312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345355553341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49318915 + ... + 49325916.

It is an arithmetic number, because the mean of its divisors is an integer number (41677441520).

Almost surely, 2345355553331 is an apocalyptic number.

345355553331 is a deficient number, since it is larger than the sum of its proper divisors (154773744909).

345355553331 is a wasteful number, since it uses less digits than its factorization.

345355553331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98645226 (or 98645223 counting only the distinct ones).

The product of its digits is 3037500, while the sum is 45.

The spelling of 345355553331 in words is "three hundred forty-five billion, three hundred fifty-five million, five hundred fifty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 389 1167 3501 98644831 295934493 887803479 38372839259 115118517777 345355553331