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207206129601 = 321517332
BaseRepresentation
bin1100000011111001110…
…0101001111111000001
3201210211112212222221100
43000332130221333001
511343324232121401
6235104510245013
720653522020132
oct3007634517701
9653745788840
10207206129601
117a96a505009
12341a8ab6769
13167022473a3
14a059177c89
1555cae08b86
hex303e729fc1

207206129601 has 9 divisors (see below), whose sum is σ = 299299715299. Its totient is φ = 138136509336.

The previous prime is 207206129593. The next prime is 207206129621. The reversal of 207206129601 is 106921602702.

The square root of 207206129601 is 455199.

It is a perfect power (a square), and thus also a powerful number.

207206129601 is a `hidden beast` number, since 2 + 0 + 7 + 20 + 6 + 1 + 29 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 158065880625 + 49140248976 = 397575^2 + 221676^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 207206129601 - 23 = 207206129593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (207206129621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1289731 + ... + 1441463.

Almost surely, 2207206129601 is an apocalyptic number.

207206129601 is the 455199-th square number.

207206129601 is the 227600-th centered octagonal number.

It is an amenable number.

207206129601 is a deficient number, since it is larger than the sum of its proper divisors (92093585698).

207206129601 is an frugal number, since it uses more digits than its factorization.

207206129601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303472 (or 151736 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 207206129601 by its sum of digits (36), we get a square (7459420665636 = 27311942).

The spelling of 207206129601 in words is "two hundred seven billion, two hundred six million, one hundred twenty-nine thousand, six hundred one".

Divisors: 1 3 9 151733 455199 1365597 23022903289 69068709867 207206129601