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23314434442101 = 321133649753327
BaseRepresentation
bin1010100110100010100001…
…00101010100001101110101
310001112211122000121102221200
411103101100211110031311
511023440430204121401
6121330300415003113
74624261263651045
oct523212045241565
9101484560542850
1023314434442101
117479661489000
1227465b0b09499
13100170726182a
145a85d333b725
152a66de0d5686
hex153450954375

23314434442101 has 48 divisors (see below), whose sum is σ = 37043225227008. Its totient is φ = 14129308152960.

The previous prime is 23314434442009. The next prime is 23314434442147. The reversal of 23314434442101 is 10124443441332.

23314434442101 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 4 + 434 + 4 + 4 + 210 + 1 = 666.

It is not a de Polignac number, because 23314434442101 - 213 = 23314434433909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23314434442181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437170900 + ... + 437224226.

It is an arithmetic number, because the mean of its divisors is an integer number (771733858896).

Almost surely, 223314434442101 is an apocalyptic number.

It is an amenable number.

23314434442101 is a deficient number, since it is larger than the sum of its proper divisors (13728790784907).

23314434442101 is a wasteful number, since it uses less digits than its factorization.

23314434442101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89863 (or 89838 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 23314434442101 its reverse (10124443441332), we get a palindrome (33438877883433).

The spelling of 23314434442101 in words is "twenty-three trillion, three hundred fourteen billion, four hundred thirty-four million, four hundred forty-two thousand, one hundred one".

Divisors: 1 3 9 11 33 99 121 363 1089 1331 3993 11979 36497 53327 109491 159981 328473 401467 479943 586597 1204401 1759791 3613203 4416137 5279373 6452567 13248411 19357701 39745233 48577507 58073103 70978237 145732521 212934711 437197563 638804133 1946275519 5838826557 17516479671 21409030709 64227092127 192681276381 235499337799 706498013397 2119494040191 2590492715789 7771478147367 23314434442101