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34054531101 = 32231549106207
BaseRepresentation
bin11111101101110011…
…101110100000011101
310020220022121102102200
4133231303232200131
51024220424443401
623351110442113
72313621511143
oct375563564035
9106808542380
1034054531101
1113495993288
126724963339
13329939a426
141910b15593
15d44a71686
hex7edcee81d

34054531101 has 24 divisors (see below), whose sum is σ = 51362188800. Its totient is φ = 21701709216.

The previous prime is 34054531099. The next prime is 34054531123. The reversal of 34054531101 is 10113545043.

It is a happy number.

34054531101 is a `hidden beast` number, since 3 + 4 + 0 + 545 + 3 + 110 + 1 = 666.

It is not a de Polignac number, because 34054531101 - 21 = 34054531099 is a prime.

It is a super-2 number, since 2×340545311012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34054531141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267540 + ... + 373746.

It is an arithmetic number, because the mean of its divisors is an integer number (2140091200).

Almost surely, 234054531101 is an apocalyptic number.

It is an amenable number.

34054531101 is a deficient number, since it is larger than the sum of its proper divisors (17307657699).

34054531101 is a wasteful number, since it uses less digits than its factorization.

34054531101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107785 (or 107782 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 34054531101 in words is "thirty-four billion, fifty-four million, five hundred thirty-one thousand, one hundred one".

Divisors: 1 3 9 23 69 207 1549 4647 13941 35627 106207 106881 318621 320643 955863 2442761 7328283 21984849 164514643 493543929 1480631787 3783836789 11351510367 34054531101