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215285792121 = 3221127332
BaseRepresentation
bin1100100010000000001…
…0000111110101111001
3202120200122012101021100
43020200002013311321
512011401130321441
6242522333402013
721360661016421
oct3104002076571
9676618171240
10215285792121
1183336243054
1235882939309
13173bc13009a
14a5c425b481
1559003dccb6
hex3220087d79

215285792121 has 27 divisors (see below), whose sum is σ = 312875977167. Its totient is φ = 142648778160.

The previous prime is 215285792119. The next prime is 215285792131. The reversal of 215285792121 is 121297582512.

It is a happy number.

The square root of 215285792121 is 463989.

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

215285792121 is a `hidden beast` number, since 2 + 1 + 52 + 8 + 579 + 2 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 210612155625 + 4673636496 = 458925^2 + 68364^2 .

It is not a de Polignac number, because 215285792121 - 21 = 215285792119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (215285792131) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 293704671 + ... + 293705403.

Almost surely, 2215285792121 is an apocalyptic number.

215285792121 is the 463989-th square number.

215285792121 is the 231995-th centered octagonal number.

It is an amenable number.

215285792121 is a deficient number, since it is larger than the sum of its proper divisors (97590185046).

215285792121 is an frugal number, since it uses more digits than its factorization.

215285792121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 947 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 215285792121 in words is "two hundred fifteen billion, two hundred eighty-five million, seven hundred ninety-two thousand, one hundred twenty-one".

Divisors: 1 3 9 211 633 733 1899 2199 6597 44521 133563 154663 400689 463989 537289 1391967 1611867 4835601 32633893 97901679 113367979 293705037 340103937 1020311811 23920643569 71761930707 215285792121