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106343066151 = 32737361712613
BaseRepresentation
bin110001100001010001…
…0100110101000100111
3101011111020020111012200
41203002202212220213
53220242311104101
6120504152545543
710453165101510
oct1430242465047
9334436214180
10106343066151
1141110985633
121873a0b22b3
13a0499a461a
14520b653a07
152b7603b986
hex18c28a6a27

106343066151 has 48 divisors (see below), whose sum is σ = 180359210304. Its totient is φ = 59104069632.

The previous prime is 106343066059. The next prime is 106343066189. The reversal of 106343066151 is 151660343601.

106343066151 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 4 + 30 + 6 + 615 + 1 = 666.

It is not a de Polignac number, because 106343066151 - 27 = 106343066023 is a prime.

It is a super-2 number, since 2×1063430661512 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106343066251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8424921 + ... + 8437533.

It is an arithmetic number, because the mean of its divisors is an integer number (3757483548).

Almost surely, 2106343066151 is an apocalyptic number.

106343066151 is a deficient number, since it is larger than the sum of its proper divisors (74016144153).

106343066151 is a wasteful number, since it uses less digits than its factorization.

106343066151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16280 (or 16277 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 106343066151 in words is "one hundred six billion, three hundred forty-three million, sixty-six thousand, one hundred fifty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 3617 10851 12613 25319 32553 37839 75957 88291 113517 133829 227871 264873 401487 466681 794619 936803 1204461 1400043 2810409 3266767 4200129 8431227 9800301 29400903 45621221 136863663 319348547 410590989 958045641 1687985177 2874136923 5063955531 11815896239 15191866593 35447688717 106343066151