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342120013011 = 33747363110607
BaseRepresentation
bin1001111101001111111…
…00010001110011010011
31012201001221011101101000
410332213330101303103
521101130210404021
6421100123113043
733501024062160
oct4764774216323
91181057141330
10342120013011
11122101912507
125637b372783
132635318832a
14127b70c9067
158d75362b26
hex4fa7f11cd3

342120013011 has 64 divisors (see below), whose sum is σ = 591794012160. Its totient is φ = 191266907040.

The previous prime is 342120013009. The next prime is 342120013013. The reversal of 342120013011 is 110310021243.

342120013011 is a `hidden beast` number, since 3 + 421 + 200 + 1 + 30 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (342120013009) and next prime (342120013013).

It is not a de Polignac number, because 342120013011 - 21 = 342120013009 is a prime.

It is a super-2 number, since 2×3421200130112 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (342120013013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32248870 + ... + 32259476.

It is an arithmetic number, because the mean of its divisors is an integer number (9246781440).

Almost surely, 2342120013011 is an apocalyptic number.

342120013011 is a deficient number, since it is larger than the sum of its proper divisors (249673999149).

342120013011 is a wasteful number, since it uses less digits than its factorization.

342120013011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14301 (or 14295 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 342120013011 its reverse (110310021243), we get a palindrome (452430034254).

The spelling of 342120013011 in words is "three hundred forty-two billion, one hundred twenty million, thirteen thousand, eleven".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 987 1269 2961 3631 8883 10607 10893 25417 31821 32679 74249 76251 95463 98037 170657 222747 228753 286389 498529 511971 668241 686259 1194599 1495587 1535913 2004723 3489703 3583797 4486761 4607739 10469109 10751391 13460283 31407327 32254173 38514017 94221981 115542051 269598119 346626153 808794357 1039878459 1810158799 2426383071 5430476397 7279149213 12671111593 16291429191 38013334779 48874287573 114040004337 342120013011