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106016204541 = 31319156791303
BaseRepresentation
bin110001010111100001…
…1101110011011111101
3101010122110012012101010
41202233003232123331
53214110122021131
6120411515105433
710442115604302
oct1425703563375
9333573165333
10106016204541
1140a63424675
1218668742279
139cc70601a0
1451ba08b0a9
152b574c3b46
hex18af0ee6fd

106016204541 has 32 divisors (see below), whose sum is σ = 160344432640. Its totient is φ = 61766898624.

The previous prime is 106016204513. The next prime is 106016204549. The reversal of 106016204541 is 145402610601.

It is not a de Polignac number, because 106016204541 - 26 = 106016204477 is a prime.

It is a super-2 number, since 2×1060162045412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106016204499 and 106016204508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106016204549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1115496 + ... + 1206798.

It is an arithmetic number, because the mean of its divisors is an integer number (5010763520).

Almost surely, 2106016204541 is an apocalyptic number.

It is an amenable number.

106016204541 is a deficient number, since it is larger than the sum of its proper divisors (54328228099).

106016204541 is a wasteful number, since it uses less digits than its factorization.

106016204541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92905.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 106016204541 in words is "one hundred six billion, sixteen million, two hundred four thousand, five hundred forty-one".

Divisors: 1 3 13 19 39 57 247 741 1567 4701 20371 29773 61113 89319 91303 273909 387049 1161147 1186939 1734757 3560817 5204271 22551841 67655523 143071801 429215403 1859933413 2718364219 5579800239 8155092657 35338734847 106016204541