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39319032299121 = 346967212
BaseRepresentation
bin10001111000010101011001…
…11100111111111001110001
312011012212021222001120210000
420330022230330333321301
520123200334232032441
6215342525235100213
711165464163065521
oct1074125474777161
9164185258046700
1039319032299121
111158a120762503
1244b0360441669
1318c29cc1968a3
1499d0a0b59681
15482ba197e2b6
hex23c2acf3fe71

39319032299121 has 15 divisors (see below), whose sum is σ = 58735922676123. Its totient is φ = 26212650576480.

The previous prime is 39319032299119. The next prime is 39319032299123. The reversal of 39319032299121 is 12199223091393.

The square root of 39319032299121 is 6270489.

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

39319032299121 is a `hidden beast` number, since 3 + 9 + 3 + 190 + 322 + 9 + 9 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (39319032299119) and next prime (39319032299123).

It can be written as a sum of positive squares in only one way, i.e., 2465876636721 + 36853155662400 = 1570311^2 + 6070680^2 .

It is not a de Polignac number, because 39319032299121 - 21 = 39319032299119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39319032299123) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 56086041 + ... + 56782761.

Almost surely, 239319032299121 is an apocalyptic number.

39319032299121 is the 6270489-th square number.

39319032299121 is the 3135245-th centered octagonal number.

It is an amenable number.

39319032299121 is a deficient number, since it is larger than the sum of its proper divisors (19416890377002).

39319032299121 is an frugal number, since it uses more digits than its factorization.

39319032299121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393454 (or 696724 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 39319032299121 in words is "thirty-nine trillion, three hundred nineteen billion, thirty-two million, two hundred ninety-nine thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 696721 2090163 6270489 18811467 56434401 485420151841 1456260455523 4368781366569 13106344099707 39319032299121