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101540603331 = 3267168392377
BaseRepresentation
bin101111010010001001…
…0101010010111000011
3100201002112120002201100
41132210102222113003
53130423343301311
6114351435305443
710223161613256
oct1364422522703
9321075502640
10101540603331
113a0770291a2
12178198ab283
139762a4a04b
144cb38d309d
152994604a56
hex17a44aa5c3

101540603331 has 12 divisors (see below), whose sum is σ = 148858862152. Its totient is φ = 66683380896.

The previous prime is 101540603303. The next prime is 101540603341. The reversal of 101540603331 is 133306045101.

101540603331 is a `hidden beast` number, since 1 + 0 + 1 + 54 + 0 + 603 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 101540603331 - 210 = 101540602307 is a prime.

It is a super-2 number, since 2×1015406033312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101540603295 and 101540603304.

It is not an unprimeable number, because it can be changed into a prime (101540603341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84195586 + ... + 84196791.

Almost surely, 2101540603331 is an apocalyptic number.

101540603331 is a deficient number, since it is larger than the sum of its proper divisors (47318258821).

101540603331 is a wasteful number, since it uses less digits than its factorization.

101540603331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168392450 (or 168392447 counting only the distinct ones).

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

Adding to 101540603331 its reverse (133306045101), we get a palindrome (234846648432).

The spelling of 101540603331 in words is "one hundred one billion, five hundred forty million, six hundred three thousand, three hundred thirty-one".

Divisors: 1 3 9 67 201 603 168392377 505177131 1515531393 11282289259 33846867777 101540603331