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231421609969 = 11210124332
BaseRepresentation
bin1101011110000111001…
…1011000011111110001
3211010100011120212010121
43113201303120133301
512242422413004334
6254151424130241
722501562141224
oct3274163303761
9733304525117
10231421609969
118a166513900
1238a26766981
1318a9108abb4
14b2b52655bb
156046cb0db4
hex35e1cd87f1

231421609969 has 27 divisors (see below), whose sum is σ = 257510698977. Its totient is φ = 207819216000.

The previous prime is 231421609961. The next prime is 231421609987. The reversal of 231421609969 is 969906124132.

The square root of 231421609969 is 481063.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4643741025 + 226777868944 = 68145^2 + 476212^2 .

It is not a de Polignac number, because 231421609969 - 23 = 231421609961 is a prime.

It is a super-2 number, since 2×2314216099692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231421609961) 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, 534460777 + ... + 534461209.

Almost surely, 2231421609969 is an apocalyptic number.

231421609969 is the 481063-rd square number.

231421609969 is the 240532-nd centered octagonal number.

It is an amenable number.

231421609969 is a deficient number, since it is larger than the sum of its proper divisors (26089089008).

231421609969 is an frugal number, since it uses more digits than its factorization.

231421609969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The spelling of 231421609969 in words is "two hundred thirty-one billion, four hundred twenty-one million, six hundred nine thousand, nine hundred sixty-nine".

Divisors: 1 11 101 121 433 1111 4763 10201 12221 43733 52393 112211 187489 481063 1234321 2062379 4417033 5291693 18936389 22686169 48587363 208300279 534460993 1912575289 2291303069 21038328179 231421609969