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132305130251145 = 32519286215406619
BaseRepresentation
bin11110000101010010110000…
…010010100110001110001001
3122100110020200000020221000200
4132011102300102212032021
5114320141401321014040
61145220045431122413
736603505315434465
oct3605226022461611
9570406600227020
10132305130251145
113917a321925995
1212a09754513409
1358a942177c907
1424958612794a5
151046860319630
hex7854b04a6389

132305130251145 has 48 divisors (see below), whose sum is σ = 241407313118400. Its totient is φ = 66846559893120.

The previous prime is 132305130251123. The next prime is 132305130251171. The reversal of 132305130251145 is 541152031503231.

It is a happy number.

132305130251145 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 5 + 130 + 2 + 511 + 4 + 5 = 666.

It is not a de Polignac number, because 132305130251145 - 216 = 132305130185609 is a prime.

It is a super-2 number, since 2×1323051302511452 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21767646 + ... + 27174264.

It is an arithmetic number, because the mean of its divisors is an integer number (5029319023300).

Almost surely, 2132305130251145 is an apocalyptic number.

132305130251145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132305130251145 is a deficient number, since it is larger than the sum of its proper divisors (109102182867255).

132305130251145 is a wasteful number, since it uses less digits than its factorization.

132305130251145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435270 (or 5435267 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 132305130251145 its reverse (541152031503231), we get a palindrome (673457161754376).

The spelling of 132305130251145 in words is "one hundred thirty-two trillion, three hundred five billion, one hundred thirty million, two hundred fifty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 28621 85863 143105 257589 429315 543799 1287945 1631397 2718995 4894191 5406619 8156985 16219857 24470955 27033095 48659571 81099285 102725761 243297855 308177283 513628805 924531849 1540886415 4622659245 154742842399 464228527197 773714211995 1392685581591 2321142635985 2940114005581 6963427907955 8820342016743 14700570027905 26461026050229 44101710083715 132305130251145