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42230661001 = 89223092
BaseRepresentation
bin100111010101001001…
…001011111110001001
311001000010102212010121
4213111021023332021
51142442022123001
631222301343241
73023341460434
oct472511137611
9131003385117
1042230661001
1116a0111a731
128226b67b21
133ca025aa09
14208894a81b
15117275d6a1
hex9d524bf89

42230661001 has 9 divisors (see below), whose sum is σ = 42728999701. Its totient is φ = 41738075104.

The previous prime is 42230660999. The next prime is 42230661037. The reversal of 42230661001 is 10016603224.

The square root of 42230661001 is 205501.

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 49716601 + 42180944400 = 7051^2 + 205380^2 .

It is not a de Polignac number, because 42230661001 - 21 = 42230660999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42230661301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18288435 + ... + 18290743.

Almost surely, 242230661001 is an apocalyptic number.

42230661001 is the 205501-st square number.

42230661001 is the 102751-st centered octagonal number.

It is an amenable number.

42230661001 is a deficient number, since it is larger than the sum of its proper divisors (498338700).

42230661001 is an frugal number, since it uses more digits than its factorization.

42230661001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Multiplying 42230661001 by its sum of digits (25), we get a square (1055766525025 = 10275052).

The spelling of 42230661001 in words is "forty-two billion, two hundred thirty million, six hundred sixty-one thousand, one".

Divisors: 1 89 2309 7921 205501 5331481 18289589 474501809 42230661001