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1348146800133 = 371719319566433
BaseRepresentation
bin10011100111100011110…
…011111010011000000101
311202212210200001022112220
4103213203303322120011
5134042001040101013
62511155144402553
7166254222504150
oct23474363723005
94685720038486
101348146800133
1147a8227a4801
12199343776459
139a18bc3b3a3
1449371b14c97
1525105c53b23
hex139e3cfa605

1348146800133 has 32 divisors (see below), whose sum is σ = 2186431600896. Its totient is φ = 721296949248.

The previous prime is 1348146800131. The next prime is 1348146800179. The reversal of 1348146800133 is 3310086418431.

It is a happy number.

It is not a de Polignac number, because 1348146800133 - 21 = 1348146800131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348146800131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9714316 + ... + 9852117.

It is an arithmetic number, because the mean of its divisors is an integer number (68325987528).

Almost surely, 21348146800133 is an apocalyptic number.

It is an amenable number.

1348146800133 is a deficient number, since it is larger than the sum of its proper divisors (838284800763).

1348146800133 is a wasteful number, since it uses less digits than its factorization.

1348146800133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19566653.

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 1348146800133 in words is "one trillion, three hundred forty-eight billion, one hundred forty-six million, eight hundred thousand, one hundred thirty-three".

Divisors: 1 3 7 17 21 51 119 193 357 579 1351 3281 4053 9843 22967 68901 19566433 58699299 136965031 332629361 410895093 997888083 2328405527 3776321569 6985216581 11328964707 26434250983 64197466673 79302752949 192592400019 449382266711 1348146800133