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1012401344129 = 72127290356041
BaseRepresentation
bin11101011101101111101…
…00101000111010000001
310120210011222201222110212
432232313310220322001
5113041344221003004
62053031334203505
7133100151303200
oct16566764507201
93523158658425
101012401344129
113603a219032a
121442631b3595
13746136226a6
1437001499237
151b50536396e
hexebb7d28e81

1012401344129 has 24 divisors (see below), whose sum is σ = 1187394582528. Its totient is φ = 860627799360.

The previous prime is 1012401344117. The next prime is 1012401344159. The reversal of 1012401344129 is 9214431042101.

It is a de Polignac number, because none of the positive numbers 2k-1012401344129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012401344095 and 1012401344104.

It is not an unprimeable number, because it can be changed into a prime (1012401344159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18037349 + ... + 18093389.

It is an arithmetic number, because the mean of its divisors is an integer number (49474774272).

Almost surely, 21012401344129 is an apocalyptic number.

It is an amenable number.

1012401344129 is a deficient number, since it is larger than the sum of its proper divisors (174993238399).

1012401344129 is a wasteful number, since it uses less digits than its factorization.

1012401344129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59085 (or 59078 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 1012401344129 in words is "one trillion, twelve billion, four hundred one million, three hundred forty-four thousand, one hundred twenty-nine".

Divisors: 1 7 49 127 889 2903 6223 20321 56041 142247 368681 392287 2580767 2746009 7117207 18065369 49820449 162687023 348743143 1138809161 7971664127 20661251921 144628763447 1012401344129