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213816169161 = 3272617948261
BaseRepresentation
bin1100011100100001101…
…1111101001011001001
3202102220012211210120100
43013020123331023021
512000343414403121
6242120434320013
721306364310400
oct3071033751311
9672805753510
10213816169161
1182751720621
1235532729009
13172168155ba
14a4c4dc4637
155866394026
hex31c86fd2c9

213816169161 has 36 divisors (see below), whose sum is σ = 365159052804. Its totient is φ = 120177691200.

The previous prime is 213816169159. The next prime is 213816169201. The reversal of 213816169161 is 161961618312.

213816169161 is a `hidden beast` number, since 2 + 13 + 8 + 1 + 616 + 9 + 16 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85992043536 + 127824125625 = 293244^2 + 357525^2 .

It is not a de Polignac number, because 213816169161 - 21 = 213816169159 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213816669161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3947230 + ... + 4001031.

Almost surely, 2213816169161 is an apocalyptic number.

213816169161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213816169161 is a deficient number, since it is larger than the sum of its proper divisors (151342883643).

213816169161 is a wasteful number, since it uses less digits than its factorization.

213816169161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7948342 (or 7948332 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 213816169161 in words is "two hundred thirteen billion, eight hundred sixteen million, one hundred sixty-nine thousand, one hundred sixty-one".

Divisors: 1 3 7 9 21 49 61 63 147 183 427 441 549 1281 2989 3843 8967 26901 7948261 23844783 55637827 71534349 166913481 389464789 484843921 500740443 1168394367 1454531763 3393907447 3505183101 4363595289 10181722341 23757352129 30545167023 71272056387 213816169161