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201352330729 = 1121941132
BaseRepresentation
bin1011101110000110001…
…0001011110111101001
3201020201120221012111201
42323201202023313221
511244332144040404
6232255555124201
720355461400124
oct2734142136751
9636646835451
10201352330729
1178436161300
12330345a3661
1315cab54a384
149a619453bb
15538704eca4
hex2ee188bde9

201352330729 has 45 divisors (see below), whose sum is σ = 235702382279. Its totient is φ = 171878857920.

The previous prime is 201352330709. The next prime is 201352330759. The reversal of 201352330729 is 927033253102.

The square root of 201352330729 is 448723.

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

It can be written as a sum of positive squares in only one way, i.e., 3547989225 + 197804341504 = 59565^2 + 444752^2 .

It is not a de Polignac number, because 201352330729 - 29 = 201352330217 is a prime.

It is a super-2 number, since 2×2013523307292 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201352330709) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1781878977 + ... + 1781879089.

Almost surely, 2201352330729 is an apocalyptic number.

201352330729 is the 448723-rd square number.

201352330729 is the 224362-nd centered octagonal number.

It is an amenable number.

201352330729 is a deficient number, since it is larger than the sum of its proper divisors (34350051550).

201352330729 is an frugal number, since it uses more digits than its factorization.

201352330729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 201352330729 in words is "two hundred one billion, three hundred fifty-two million, three hundred thirty thousand, seven hundred twenty-nine".

Divisors: 1 11 19 113 121 209 361 1243 2147 2299 3971 6859 12769 13673 23617 40793 43681 75449 130321 140459 242611 259787 448723 775067 829939 1433531 1545049 2668721 4609609 4935953 8525737 14726273 15768841 29355931 50705699 87582571 93783107 161989003 557762689 963408281 1664068849 1781879033 10597491091 18304757339 201352330729