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310234141432013 = 29439104923230127
BaseRepresentation
bin100011010001010000000001…
…1110011000001100011001101
31111200110002112201120222020212
41012202200003303001203031
5311130334010201311023
63015451332544452205
7122226451142360141
oct10642400363014315
91450402481528225
10310234141432013
118a939619061957
122a96555631a065
1310414c52c55086
1456875ac0dd221
1525ced7e210e78
hex11a2803cc18cd

310234141432013 has 16 divisors (see below), whose sum is σ = 321969574080000. Its totient is φ = 298569189996672.

The previous prime is 310234141431959. The next prime is 310234141432093.

310234141432013 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 310234141432013 - 28 = 310234141431757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310234141432093) 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 in 15 ways as a sum of consecutive naturals, for example, 1739756 + ... + 24969882.

It is an arithmetic number, because the mean of its divisors is an integer number (20123098380000).

Almost surely, 2310234141432013 is an apocalyptic number.

It is an amenable number.

310234141432013 is a deficient number, since it is larger than the sum of its proper divisors (11735432647987).

310234141432013 is a wasteful number, since it uses less digits than its factorization.

310234141432013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23231644.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 310234141432013 in words is "three hundred ten trillion, two hundred thirty-four billion, one hundred forty-one million, four hundred thirty-two thousand, thirteen".

Divisors: 1 29 439 1049 12731 30421 460511 13354819 23230127 673673683 10198025753 24368403223 295742746837 706683693467 10697729014897 310234141432013