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106306965633 = 311100911232843
BaseRepresentation
bin110001100000001100…
…0111001000010000001
3101011101201022101121110
41203000120321002001
53220204040400013
6120500423113533
710452246204261
oct1430030710201
9334351271543
10106306965633
11410a25687a0
1218729ba28a9
13a04237497b
1452069377a1
152b72caa2c3
hex18c0639081

106306965633 has 32 divisors (see below), whose sum is σ = 154973882880. Its totient is φ = 64284675840.

The previous prime is 106306965587. The next prime is 106306965649. The reversal of 106306965633 is 336569603601.

It is not a de Polignac number, because 106306965633 - 216 = 106306900097 is a prime.

It is a super-2 number, since 2×1063069656332 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106306965133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37391110 + ... + 37393952.

It is an arithmetic number, because the mean of its divisors is an integer number (4842933840).

Almost surely, 2106306965633 is an apocalyptic number.

It is an amenable number.

106306965633 is a deficient number, since it is larger than the sum of its proper divisors (48666917247).

106306965633 is a wasteful number, since it uses less digits than its factorization.

106306965633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989.

The product of its (nonzero) digits is 1574640, while the sum is 48.

The spelling of 106306965633 in words is "one hundred six billion, three hundred six million, nine hundred sixty-five thousand, six hundred thirty-three".

Divisors: 1 3 11 33 1009 1123 2843 3027 3369 8529 11099 12353 31273 33297 37059 93819 1133107 2868587 3192689 3399321 8605761 9578067 12464177 31554457 35119579 37392531 94663371 105358737 3221423201 9664269603 35435655211 106306965633