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34105215235 = 5713233258979
BaseRepresentation
bin11111110000110101…
…000100100100000011
310021000211222102222211
4133300311010210003
51024321413341420
623400121042551
72315105355250
oct376065044403
9107024872884
1034105215235
1113511560aa3
126739926457
1332a6a35040
14191774a427
15d49233e5a
hex7f0d44903

34105215235 has 32 divisors (see below), whose sum is σ = 52560829440. Its totient is φ = 20648884608.

The previous prime is 34105215211. The next prime is 34105215239. The reversal of 34105215235 is 53251250143.

It is a cyclic number.

It is not a de Polignac number, because 34105215235 - 215 = 34105182467 is a prime.

It is a super-2 number, since 2×341052152352 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34105215197 and 34105215206.

It is not an unprimeable number, because it can be changed into a prime (34105215239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1619025 + ... + 1639954.

It is an arithmetic number, because the mean of its divisors is an integer number (1642525920).

Almost surely, 234105215235 is an apocalyptic number.

34105215235 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34105215235 is a deficient number, since it is larger than the sum of its proper divisors (18455614205).

34105215235 is a wasteful number, since it uses less digits than its factorization.

34105215235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259027.

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 34105215235 its reverse (53251250143), we get a palindrome (87356465378).

The spelling of 34105215235 in words is "thirty-four billion, one hundred five million, two hundred fifteen thousand, two hundred thirty-five".

Divisors: 1 5 7 13 23 35 65 91 115 161 299 455 805 1495 2093 10465 3258979 16294895 22812853 42366727 74956517 114064265 211833635 296567089 374782585 524695619 974434721 1482835445 2623478095 4872173605 6821043047 34105215235