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34013122325 = 5271353282091
BaseRepresentation
bin11111101011010101…
…110000111100010101
310020210102200122021022
4133223111300330111
51024124324403300
623343031130525
72312606524640
oct375325607425
9106712618238
1034013122325
1113474580256
126712b13a45
13329092c5b0
141909416a57
15d410e2285
hex7eb570f15

34013122325 has 48 divisors (see below), whose sum is σ = 52888864896. Its totient is φ = 21122899200.

The previous prime is 34013122313. The next prime is 34013122373. The reversal of 34013122325 is 52322131043.

It is a happy number.

It is not a de Polignac number, because 34013122325 - 28 = 34013122069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34013122294 and 34013122303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20471 + ... + 261620.

It is an arithmetic number, because the mean of its divisors is an integer number (1101851352).

Almost surely, 234013122325 is an apocalyptic number.

34013122325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34013122325 is a deficient number, since it is larger than the sum of its proper divisors (18875742571).

34013122325 is a wasteful number, since it uses less digits than its factorization.

34013122325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282174 (or 282169 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 34013122325 its reverse (52322131043), we get a palindrome (86335253368).

The spelling of 34013122325 in words is "thirty-four billion, thirteen million, one hundred twenty-two thousand, three hundred twenty-five".

Divisors: 1 5 7 13 25 35 53 65 91 175 265 325 371 455 689 1325 1855 2275 3445 4823 9275 17225 24115 120575 282091 1410455 1974637 3667183 7052275 9873185 14950823 18335915 25670281 49365925 74754115 91679575 104655761 128351405 194360699 373770575 523278805 641757025 971803495 1360524893 2616394025 4859017475 6802624465 34013122325