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106539971329 = 11171288944203
BaseRepresentation
bin110001100111001000…
…1101111001100000001
3101011222221202022100001
41203032101233030001
53221143213040304
6120535505200001
710461105546211
oct1431621571401
9334887668301
10106539971329
1141202044390
1218794030001
13a07b71706c
14522986c241
152b88483da4
hex18ce46f301

106539971329 has 16 divisors (see below), whose sum is σ = 123074544960. Its totient is φ = 91148060160.

The previous prime is 106539971311. The next prime is 106539971333. The reversal of 106539971329 is 923179935601.

It is a cyclic number.

It is not a de Polignac number, because 106539971329 - 25 = 106539971297 is a prime.

It is a super-2 number, since 2×1065399713292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106539971329.

It is not an unprimeable number, because it can be changed into a prime (106539971729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2388142 + ... + 2432344.

It is an arithmetic number, because the mean of its divisors is an integer number (7692159060).

Almost surely, 2106539971329 is an apocalyptic number.

It is an amenable number.

106539971329 is a deficient number, since it is larger than the sum of its proper divisors (16534573631).

106539971329 is a wasteful number, since it uses less digits than its factorization.

106539971329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57120.

The product of its (nonzero) digits is 2755620, while the sum is 55.

The spelling of 106539971329 in words is "one hundred six billion, five hundred thirty-nine million, nine hundred seventy-one thousand, three hundred twenty-nine".

Divisors: 1 11 17 187 12889 44203 141779 219113 486233 751451 2410243 8265961 569732467 6267057137 9685451939 106539971329