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217022129129 = 1329741561313
BaseRepresentation
bin1100101000011110000…
…1101110001111101001
3202202011122102102212102
43022013201232033221
512023430131113004
6243410521223145
721452003442431
oct3120741561751
9682148372772
10217022129129
1184047374813
1236088331ab5
1317607a8cb30
14a70aac12c1
1559a2a6d11e
hex328786e3e9

217022129129 has 8 divisors (see below), whose sum is σ = 233724413832. Its totient is φ = 200321026560.

The previous prime is 217022129111. The next prime is 217022129131. The reversal of 217022129129 is 921921220712.

It can be written as a sum of positive squares in 4 ways, for example, as 64250589529 + 152771539600 = 253477^2 + 390860^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-217022129129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 217022129092 and 217022129101.

It is not an unprimeable number, because it can be changed into a prime (217022129729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105977 + ... + 667289.

It is an arithmetic number, because the mean of its divisors is an integer number (29215551729).

Almost surely, 2217022129129 is an apocalyptic number.

It is an amenable number.

217022129129 is a deficient number, since it is larger than the sum of its proper divisors (16702284703).

217022129129 is a wasteful number, since it uses less digits than its factorization.

217022129129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591067.

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 217022129129 in words is "two hundred seventeen billion, twenty-two million, one hundred twenty-nine thousand, one hundred twenty-nine".

Divisors: 1 13 29741 386633 561313 7297069 16694009933 217022129129