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223202120000329 is a prime number
BaseRepresentation
bin110010110000000001001011…
…000100110110001101001001
31002021021220200111210200220101
4302300001023010312031021
5213223420420210002304
62110413345520125401
765004551415264511
oct6260011304661511
91067256614720811
10223202120000329
116513453a966948
122104a096466861
139770b3c693132
143d1907c630841
151ac0eecca68a4
hexcb004b136349

223202120000329 has 2 divisors, whose sum is σ = 223202120000330. Its totient is φ = 223202120000328.

The previous prime is 223202120000273. The next prime is 223202120000533. The reversal of 223202120000329 is 923000021202322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211985300881225 + 11216819119104 = 14559715^2 + 3349152^2 .

It is a cyclic number.

It is not a de Polignac number, because 223202120000329 - 219 = 223202119476041 is a prime.

It is a super-3 number, since 3×2232021200003293 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223202120000297 and 223202120000306.

It is not a weakly prime, because it can be changed into another prime (223202120010329) 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 as a sum of consecutive naturals, namely, 111601060000164 + 111601060000165.

It is an arithmetic number, because the mean of its divisors is an integer number (111601060000165).

Almost surely, 2223202120000329 is an apocalyptic number.

It is an amenable number.

223202120000329 is a deficient number, since it is larger than the sum of its proper divisors (1).

223202120000329 is an equidigital number, since it uses as much as digits as its factorization.

223202120000329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 223202120000329 in words is "two hundred twenty-three trillion, two hundred two billion, one hundred twenty million, three hundred twenty-nine", and thus it is an aban number.