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312000122011153 is a prime number
BaseRepresentation
bin100011011110000110011000…
…0011100010011111000010001
31111220200220211221121111111011
41012330030300130103320101
5311343302222213324103
63023322513301250521
7122501156606541202
oct10674146034237021
91456626757544434
10312000122011153
119045a56605a094
122abab869703a41
1310512640173b44
145708c5a6d55a9
152610c8c330d6d
hex11bc330713e11

312000122011153 has 2 divisors, whose sum is σ = 312000122011154. Its totient is φ = 312000122011152.

The previous prime is 312000122011117. The next prime is 312000122011267. The reversal of 312000122011153 is 351110221000213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 298501052415489 + 13499069595664 = 17277183^2 + 3674108^2 .

It is a cyclic number.

It is not a de Polignac number, because 312000122011153 - 29 = 312000122010641 is a prime.

It is a super-2 number, since 2×3120001220111532 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312000122017153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000061005576 + 156000061005577.

It is an arithmetic number, because the mean of its divisors is an integer number (156000061005577).

Almost surely, 2312000122011153 is an apocalyptic number.

It is an amenable number.

312000122011153 is a deficient number, since it is larger than the sum of its proper divisors (1).

312000122011153 is an equidigital number, since it uses as much as digits as its factorization.

312000122011153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 312000122011153 its reverse (351110221000213), we get a palindrome (663110343011366).

The spelling of 312000122011153 in words is "three hundred twelve trillion, one hundred twenty-two million, eleven thousand, one hundred fifty-three".