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106355557269 = 3213909021857
BaseRepresentation
bin110001100001101001…
…0010000001110010101
3101011112002202002210200
41203003102100032111
53220304010313034
6120505320411113
710453406214663
oct1430322201625
9334462662720
10106355557269
1141117a37375
1218742316a99
13a04c459010
14520d185c33
152b771a7a99
hex18c3490395

106355557269 has 12 divisors (see below), whose sum is σ = 165441978156. Its totient is φ = 65449573632.

The previous prime is 106355557247. The next prime is 106355557307. The reversal of 106355557269 is 962755553601.

106355557269 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 5 + 5 + 5 + 572 + 69 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52374611025 + 53980946244 = 228855^2 + 232338^2 .

It is not a de Polignac number, because 106355557269 - 27 = 106355557141 is a prime.

It is a super-2 number, since 2×1063555572692 (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 (106355557769) 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, 454510812 + ... + 454511045.

It is an arithmetic number, because the mean of its divisors is an integer number (13786831513).

Almost surely, 2106355557269 is an apocalyptic number.

It is an amenable number.

106355557269 is a deficient number, since it is larger than the sum of its proper divisors (59086420887).

106355557269 is a wasteful number, since it uses less digits than its factorization.

106355557269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909021876 (or 909021873 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 54.

The spelling of 106355557269 in words is "one hundred six billion, three hundred fifty-five million, five hundred fifty-seven thousand, two hundred sixty-nine".

Divisors: 1 3 9 13 39 117 909021857 2727065571 8181196713 11817284141 35451852423 106355557269