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312312101213269 is a prime number
BaseRepresentation
bin100011100000010111101001…
…1110110100001010001010101
31111221210202010022112001020201
41013000233103312201101111
5311413410140402311034
63024122110522300501
7122532543004156213
oct10700572366412125
91457722108461221
10312312101213269
119056a9001a2223
122b040216957731
1310535b9ba34911
145719db479dcb3
152618e4b503014
hex11c0bd3da1455

312312101213269 has 2 divisors, whose sum is σ = 312312101213270. Its totient is φ = 312312101213268.

The previous prime is 312312101213159. The next prime is 312312101213381. The reversal of 312312101213269 is 962312101213213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216836963398225 + 95475137815044 = 14725385^2 + 9771138^2 .

It is an emirp because it is prime and its reverse (962312101213213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312312101213269 - 243 = 303516008191061 is a prime.

It is a super-2 number, since 2×3123121012132692 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312312101213669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156156050606634 + 156156050606635.

It is an arithmetic number, because the mean of its divisors is an integer number (156156050606635).

Almost surely, 2312312101213269 is an apocalyptic number.

It is an amenable number.

312312101213269 is a deficient number, since it is larger than the sum of its proper divisors (1).

312312101213269 is an equidigital number, since it uses as much as digits as its factorization.

312312101213269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 312312101213269 in words is "three hundred twelve trillion, three hundred twelve billion, one hundred one million, two hundred thirteen thousand, two hundred sixty-nine".