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34135152127 = 231721862369
BaseRepresentation
bin11111110010100111…
…010001010111111111
310021002221022101200121
4133302213101113333
51024402044332002
623403110435411
72315621001646
oct376247212777
9107087271617
1034135152127
111352744902a
126747962b67
1332accb738b
14191b70035d
15d4bb99237
hex7f29d15ff

34135152127 has 8 divisors (see below), whose sum is σ = 35640027360. Its totient is φ = 32632005120.

The previous prime is 34135152101. The next prime is 34135152131. The reversal of 34135152127 is 72125153143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34135152127 is a prime.

It is a super-2 number, since 2×341351521272 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34135152092 and 34135152101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34135152137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391602 + ... + 470767.

It is an arithmetic number, because the mean of its divisors is an integer number (4455003420).

Almost surely, 234135152127 is an apocalyptic number.

34135152127 is a deficient number, since it is larger than the sum of its proper divisors (1504875233).

34135152127 is a wasteful number, since it uses less digits than its factorization.

34135152127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864113.

The product of its digits is 25200, while the sum is 34.

The spelling of 34135152127 in words is "thirty-four billion, one hundred thirty-five million, one hundred fifty-two thousand, one hundred twenty-seven".

Divisors: 1 23 1721 39583 862369 19834487 1484137049 34135152127