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101103113331 = 3311340414523
BaseRepresentation
bin101111000101000110…
…1110001010001110011
3100122222001100022021000
41132022031301101303
53124024344111311
6114240210333043
710206300166233
oct1361215612163
9318861308230
10101103113331
1139972087510
121771728a183
1396c321051c
144c7176dcc3
15296aed8056
hex178a371473

101103113331 has 16 divisors (see below), whose sum is σ = 163398971520. Its totient is φ = 61274613960.

The previous prime is 101103113327. The next prime is 101103113341. The reversal of 101103113331 is 133311301101.

101103113331 is a `hidden beast` number, since 10 + 1 + 10 + 311 + 3 + 331 = 666.

It is not a de Polignac number, because 101103113331 - 22 = 101103113327 is a prime.

It is a super-2 number, since 2×1011031133312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101103113341) 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 15 ways as a sum of consecutive naturals, for example, 170206965 + ... + 170207558.

It is an arithmetic number, because the mean of its divisors is an integer number (10212435720).

Almost surely, 2101103113331 is an apocalyptic number.

101103113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101103113331 is a deficient number, since it is larger than the sum of its proper divisors (62295858189).

101103113331 is a wasteful number, since it uses less digits than its factorization.

101103113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340414543 (or 340414537 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101103113331 its reverse (133311301101), we get a palindrome (234414414432).

The spelling of 101103113331 in words is "one hundred one billion, one hundred three million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 340414523 1021243569 3063730707 3744559753 9191192121 11233679259 33701037777 101103113331