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11337001267007 = 131761840961447
BaseRepresentation
bin1010010011111001100111…
…1011101110111100111111
31111010210210002222211020002
42210332121323232330333
52441221134311021012
640040051350144515
72250033313532003
oct244763173567477
944123702884202
1011337001267007
113680aa4729819
12133122a95213b
136430c7c755a0
142b29dc8cc703
15149d7c45b7c2
hexa4f99eeef3f

11337001267007 has 16 divisors (see below), whose sum is σ = 13139181663552. Its totient is φ = 9687875857920.

The previous prime is 11337001267001. The next prime is 11337001267019. The reversal of 11337001267007 is 70076210073311.

It is a happy number.

It is not a de Polignac number, because 11337001267007 - 214 = 11337001250623 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11337001267001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420467243 + ... + 420494204.

It is an arithmetic number, because the mean of its divisors is an integer number (821198853972).

Almost surely, 211337001267007 is an apocalyptic number.

11337001267007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11337001267007 is a deficient number, since it is larger than the sum of its proper divisors (1802180396545).

11337001267007 is a wasteful number, since it uses less digits than its factorization.

11337001267007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840961538.

The product of its (nonzero) digits is 37044, while the sum is 38.

The spelling of 11337001267007 in words is "eleven trillion, three hundred thirty-seven billion, one million, two hundred sixty-seven thousand, seven".

Divisors: 1 13 17 61 221 793 1037 13481 840961447 10932498811 14296344599 51298648267 185852479787 666882427471 872077020539 11337001267007