Search a number
-
+
223130001019357 is a prime number
BaseRepresentation
bin110010101110111110000000…
…011100110001000111011101
31002021001000112102012212121001
4302232332000130301013131
5213221230220230104412
62110320301332110301
764666416301124665
oct6256760034610735
91067030472185531
10223130001019357
11651069a1652033
1221038109a65391
1397670b82432b3
143d1579a42b1a5
151abe1cb62e957
hexcaef807311dd

223130001019357 has 2 divisors, whose sum is σ = 223130001019358. Its totient is φ = 223130001019356.

The previous prime is 223130001019301. The next prime is 223130001019391. The reversal of 223130001019357 is 753910100031322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117816718544281 + 105313282475076 = 10854341^2 + 10262226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223130001019357 is a prime.

It is a super-3 number, since 3×2231300010193573 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223130001019397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111565000509678 + 111565000509679.

It is an arithmetic number, because the mean of its divisors is an integer number (111565000509679).

Almost surely, 2223130001019357 is an apocalyptic number.

It is an amenable number.

223130001019357 is a deficient number, since it is larger than the sum of its proper divisors (1).

223130001019357 is an equidigital number, since it uses as much as digits as its factorization.

223130001019357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 223130001019357 in words is "two hundred twenty-three trillion, one hundred thirty billion, one million, nineteen thousand, three hundred fifty-seven".