Search a number
-
+
223107932981 is a prime number
BaseRepresentation
bin1100111111001001000…
…1001110001100110101
3210022212202221022022002
43033302101032030311
512123411112323411
6250254441145045
722055552066003
oct3176221161465
9708782838262
10223107932981
118668a68027a
12372a648b185
131806786b8bb
14ab27067a73
155c0bea433b
hex33f244e335

223107932981 has 2 divisors, whose sum is σ = 223107932982. Its totient is φ = 223107932980.

The previous prime is 223107932947. The next prime is 223107932989. The reversal of 223107932981 is 189239701322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210099389956 + 13008543025 = 458366^2 + 114055^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223107932981 is a prime.

It is a super-3 number, since 3×2231079329813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223107932989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111553966490 + 111553966491.

It is an arithmetic number, because the mean of its divisors is an integer number (111553966491).

Almost surely, 2223107932981 is an apocalyptic number.

It is an amenable number.

223107932981 is a deficient number, since it is larger than the sum of its proper divisors (1).

223107932981 is an equidigital number, since it uses as much as digits as its factorization.

223107932981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 223107932981 in words is "two hundred twenty-three billion, one hundred seven million, nine hundred thirty-two thousand, nine hundred eighty-one".