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145021331331 = 32193892180149
BaseRepresentation
bin1000011100001111110…
…0011110011110000011
3111212022210012221101200
42013003330132132003
54334000430100311
6150342154232243
713322522656152
oct2070374363603
9455283187350
10145021331331
1156559840748
1224133425683
13108a1c7bc76
14703a483599
153b8b98d556
hex21c3f1e783

145021331331 has 24 divisors (see below), whose sum is σ = 221067210000. Its totient is φ = 91356921792.

The previous prime is 145021331239. The next prime is 145021331341. The reversal of 145021331331 is 133133120541.

145021331331 is a `hidden beast` number, since 14 + 502 + 13 + 3 + 133 + 1 = 666.

It is not a de Polignac number, because 145021331331 - 211 = 145021329283 is a prime.

It is a super-2 number, since 2×1450213313312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145021331295 and 145021331304.

It is not an unprimeable number, because it can be changed into a prime (145021331341) 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, 1023556 + ... + 1156593.

It is an arithmetic number, because the mean of its divisors is an integer number (9211133750).

Almost surely, 2145021331331 is an apocalyptic number.

145021331331 is a deficient number, since it is larger than the sum of its proper divisors (76045878669).

145021331331 is a wasteful number, since it uses less digits than its factorization.

145021331331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180563 (or 2180560 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 145021331331 its reverse (133133120541), we get a palindrome (278154451872).

It can be divided in two parts, 1450213 and 31331, that added together give a cube (1481544 = 1143).

The spelling of 145021331331 in words is "one hundred forty-five billion, twenty-one million, three hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 19 57 171 389 1167 3501 7391 22173 66519 2180149 6540447 19621341 41422831 124268493 372805479 848077961 2544233883 7632701649 16113481259 48340443777 145021331331