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145314032121 = 32137311759653
BaseRepresentation
bin1000011101010101100…
…1000010100111111001
3111220002011222200101200
42013111121002213321
54340100343011441
6150431212004413
713333005615216
oct2072531024771
9456064880350
10145314032121
1156699a8a125
12241b5460709
131091a7c25bb
1470672b6b0d
153ba75097b6
hex21d56429f9

145314032121 has 12 divisors (see below), whose sum is σ = 210050939748. Its totient is φ = 96805455264.

The previous prime is 145314032111. The next prime is 145314032153. The reversal of 145314032121 is 121230413541.

145314032121 is a `hidden beast` number, since 1 + 4 + 5 + 314 + 0 + 321 + 21 = 666.

145314032121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 107691610896 + 37622421225 = 328164^2 + 193965^2 .

It is not a de Polignac number, because 145314032121 - 25 = 145314032089 is a prime.

It is a super-2 number, since 2×1453140321212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145314032111) 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 11 ways as a sum of consecutive naturals, for example, 5867470 + ... + 5892183.

It is an arithmetic number, because the mean of its divisors is an integer number (17504244979).

Almost surely, 2145314032121 is an apocalyptic number.

It is an amenable number.

145314032121 is a deficient number, since it is larger than the sum of its proper divisors (64736907627).

145314032121 is a wasteful number, since it uses less digits than its factorization.

145314032121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11761032 (or 11761029 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 145314032121 its reverse (121230413541), we get a palindrome (266544445662).

The spelling of 145314032121 in words is "one hundred forty-five billion, three hundred fourteen million, thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 1373 4119 12357 11759653 35278959 105836877 16146003569 48438010707 145314032121