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34133032122 = 2374753326251
BaseRepresentation
bin11111110010011111…
…001011110010111010
310021002210022200120220
4133302133023302322
51024401024011442
623402553200510
72315563662120
oct376237136272
9107083280526
1034133032122
1113526230262
126747100136
1332ac724437
14191b30b910
15d4b8caeec
hex7f27cbcba

34133032122 has 64 divisors (see below), whose sum is σ = 81181937664. Its totient is φ = 9364680000.

The previous prime is 34133032117. The next prime is 34133032253. The reversal of 34133032122 is 22123033143.

It is a junction number, because it is equal to n+sod(n) for n = 34133032092 and 34133032101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58504 + ... + 267747.

It is an arithmetic number, because the mean of its divisors is an integer number (1268467776).

Almost surely, 234133032122 is an apocalyptic number.

34133032122 is an abundant number, since it is smaller than the sum of its proper divisors (47048905542).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34133032122 is a wasteful number, since it uses less digits than its factorization.

34133032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326363.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34133032122 its reverse (22123033143), we get a palindrome (56256065265).

The spelling of 34133032122 in words is "thirty-four billion, one hundred thirty-three million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 47 53 94 106 141 159 282 318 329 371 658 742 987 1113 1974 2226 2491 4982 7473 14946 17437 34874 52311 104622 326251 652502 978753 1957506 2283757 4567514 6851271 13702542 15333797 17291303 30667594 34582606 46001391 51873909 92002782 103747818 107336579 121039121 214673158 242078242 322009737 363117363 644019474 726234726 812691241 1625382482 2438073723 4876147446 5688838687 11377677374 17066516061 34133032122