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343430020133331 = 323181101392712161
BaseRepresentation
bin100111000010110010000100…
…0010110101111000111010011
31200000222120220120220000201120
41032011210020112233013103
5330003224140123231311
63214225323451533323
7132224000023603425
oct11605441026570723
91600876816800646
10343430020133331
119a47794318810a
1232627056a5a243
13119824094318c1
1460b415cd76815
1529a8609e6c706
hex13859085af1d3

343430020133331 has 32 divisors (see below), whose sum is σ = 480503109864960. Its totient is φ = 217767354393600.

The previous prime is 343430020133327. The next prime is 343430020133359. The reversal of 343430020133331 is 133331020034343.

It is not a de Polignac number, because 343430020133331 - 22 = 343430020133327 is a prime.

It is a super-2 number, since 2×3434300201333312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343430020133292 and 343430020133301.

It is not an unprimeable number, because it can be changed into a prime (343430020133381) 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 31 ways as a sum of consecutive naturals, for example, 125269891 + ... + 127982051.

It is an arithmetic number, because the mean of its divisors is an integer number (15015722183280).

Almost surely, 2343430020133331 is an apocalyptic number.

343430020133331 is a deficient number, since it is larger than the sum of its proper divisors (137073089731629).

343430020133331 is a wasteful number, since it uses less digits than its factorization.

343430020133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722507.

The product of its (nonzero) digits is 69984, while the sum is 33.

Adding to 343430020133331 its reverse (133331020034343), we get a palindrome (476761040167674).

The spelling of 343430020133331 in words is "three hundred forty-three trillion, four hundred thirty billion, twenty million, one hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 23 69 181 543 4163 10139 12489 30417 233197 699591 1835159 2712161 5505477 8136483 42208657 62379703 126625971 187139109 490901141 1472703423 11290726243 27498600379 33872178729 82495801137 632467808717 1897403426151 4977246668599 14931740005797 114476673377777 343430020133331