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34100668100 = 2252714802911
BaseRepresentation
bin11111110000100011…
…101110011011000100
310021000112102102111102
4133300203232123010
51024314232334400
623355435355232
72315021616302
oct376043563304
9107015372442
1034100668100
1113509a35734
1267382b2b18
1332a5b02425
141916cc5272
15d48b369d5
hex7f08ee6c4

34100668100 has 36 divisors (see below), whose sum is σ = 75040697088. Its totient is φ = 13448148000.

The previous prime is 34100668097. The next prime is 34100668111. The reversal of 34100668100 is 186600143.

It is a super-2 number, since 2×341006681002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2394356 + ... + 2408555.

It is an arithmetic number, because the mean of its divisors is an integer number (2084463808).

Almost surely, 234100668100 is an apocalyptic number.

It is an amenable number.

34100668100 is an abundant number, since it is smaller than the sum of its proper divisors (40940028988).

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

34100668100 is a wasteful number, since it uses less digits than its factorization.

34100668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802996 (or 4802989 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 34100668100 in words is "thirty-four billion, one hundred million, six hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 4802911 9605822 19211644 24014555 48029110 96058220 120072775 240145550 341006681 480291100 682013362 1364026724 1705033405 3410066810 6820133620 8525167025 17050334050 34100668100