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34011123034035 = 3572263175945387
BaseRepresentation
bin1111011101110110101001…
…11010000010011110110011
311110102102122122100010121210
413232323110322002132303
513424214234444042120
6200200254430251203
710110136222544100
oct756732472023663
9143372578303553
1034011123034035
11a923044314834
123993700356b03
1315c93097ac214
1485820ba65aa7
153dea92527ce0
hex1eeed4e827b3

34011123034035 has 48 divisors (see below), whose sum is σ = 63543028766976. Its totient is φ = 15488824220352.

The previous prime is 34011123034013. The next prime is 34011123034039. The reversal of 34011123034035 is 53043032111043.

It is a happy number.

It is not a de Polignac number, because 34011123034035 - 221 = 34011120936883 is a prime.

It is a super-2 number, since 2×340111230340352 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34011123033993 and 34011123034011.

It is not an unprimeable number, because it can be changed into a prime (34011123034039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87779389 + ... + 88165998.

It is an arithmetic number, because the mean of its divisors is an integer number (1323813099312).

Almost surely, 234011123034035 is an apocalyptic number.

34011123034035 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34011123034035 is a deficient number, since it is larger than the sum of its proper divisors (29531905732941).

34011123034035 is a wasteful number, since it uses less digits than its factorization.

34011123034035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175945672 (or 175945665 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 34011123034035 its reverse (53043032111043), we get a palindrome (87054155145078).

The spelling of 34011123034035 in words is "thirty-four trillion, eleven billion, one hundred twenty-three million, thirty-four thousand, thirty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 263 735 789 1315 1841 3945 5523 9205 12887 27615 38661 64435 193305 175945387 527836161 879726935 1231617709 2639180805 3694853127 6158088545 8621323963 18474265635 25863971889 43106619815 46273636781 129319859445 138820910343 231368183905 323915457467 694104551715 971746372401 1619577287335 2267408202269 4858731862005 6802224606807 11337041011345 34011123034035