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3430214111331 = 327279367726777
BaseRepresentation
bin110001111010101000101…
…100011001000001100011
3110010220222112000112100100
4301322220230121001203
5422200034303030311
611143452452553443
7502552621603200
oct61725054310143
913126875015310
103430214111331
111102822493117
1247496b922883
131bb6109bb617
14bc047b1aca7
155e36395ba56
hex31ea8b19063

3430214111331 has 72 divisors (see below), whose sum is σ = 5838456611520. Its totient is φ = 1934712089856.

The previous prime is 3430214111323. The next prime is 3430214111377. The reversal of 3430214111331 is 1331114120343.

3430214111331 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 214 + 111 + 331 = 666.

It is not a de Polignac number, because 3430214111331 - 23 = 3430214111323 is a prime.

It is a super-2 number, since 2×34302141113312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3430214111295 and 3430214111304.

It is not an unprimeable number, because it can be changed into a prime (3430214211331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128089615 + ... + 128116391.

It is an arithmetic number, because the mean of its divisors is an integer number (81089675160).

Almost surely, 23430214111331 is an apocalyptic number.

3430214111331 is a deficient number, since it is larger than the sum of its proper divisors (2408242500189).

3430214111331 is a wasteful number, since it uses less digits than its factorization.

3430214111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30553 (or 30543 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 3430214111331 its reverse (1331114120343), we get a palindrome (4761328231674).

The spelling of 3430214111331 in words is "three trillion, four hundred thirty billion, two hundred fourteen million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 79 147 237 441 553 711 1659 3677 3871 4977 11031 11613 25739 26777 33093 34839 77217 80331 180173 187439 231651 240993 290483 540519 562317 871449 1312073 1621557 1686951 2033381 2115383 2614347 3936219 6100143 6346149 11808657 14233667 14807681 18300429 19038447 42701001 44423043 98459029 103653767 128103003 133269129 295377087 310961301 689213203 886131261 932883903 2067639609 4824492421 6202918827 7778263291 14473477263 23334789873 43420431789 54447843037 70004369619 163343529111 381134901259 490030587333 1143404703777 3430214111331