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106122016476 = 22327421119113
BaseRepresentation
bin110001011010101011…
…1010111011011011100
3101010220211022000001200
41202311113113123130
53214314214011401
6120430215035500
710444542154020
oct1426527273334
9333824260050
10106122016476
1141008125753
121869806bb90
13a012c5a1b8
1451ca152380
152b61925686
hex18b55d76dc

106122016476 has 36 divisors (see below), whose sum is σ = 306574714992. Its totient is φ = 30320576064.

The previous prime is 106122016471. The next prime is 106122016487. The reversal of 106122016476 is 674610221601.

106122016476 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 2 + 2 + 0 + 1 + 647 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1061220164762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106122016476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106122016471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210559305 + ... + 210559808.

Almost surely, 2106122016476 is an apocalyptic number.

It is an amenable number.

106122016476 is an abundant number, since it is smaller than the sum of its proper divisors (200452698516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106122016476 is a wasteful number, since it uses less digits than its factorization.

106122016476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421119130 (or 421119125 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 106122016476 in words is "one hundred six billion, one hundred twenty-two million, sixteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 421119113 842238226 1263357339 1684476452 2526714678 2947833791 3790072017 5053429356 5895667582 7580144034 8843501373 11791335164 15160288068 17687002746 26530504119 35374005492 53061008238 106122016476