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11145340303031 = 116128159110481
BaseRepresentation
bin1010001000101111101000…
…0011001011011010110111
31110110111001221002001121202
42202023322003023122313
52430101124104144111
635412033150403115
72230136631316244
oct242137203133267
943414057061552
1011145340303031
113607792051830
12130005bb0049b
1362b0024b416c
142a761a12a5cb
15144db1152b3b
hexa22fa0cb6b7

11145340303031 has 16 divisors (see below), whose sum is σ = 12401852007456. Its totient is φ = 9930560640000.

The previous prime is 11145340302983. The next prime is 11145340303037. The reversal of 11145340303031 is 13030304354111.

It is a happy number.

It is not a de Polignac number, because 11145340303031 - 210 = 11145340302007 is a prime.

It is a super-2 number, since 2×111453403030312 (a number of 27 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 = 11145340302985 and 11145340303003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145340303037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29366690 + ... + 29743791.

It is an arithmetic number, because the mean of its divisors is an integer number (775115750466).

Almost surely, 211145340303031 is an apocalyptic number.

11145340303031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11145340303031 is a deficient number, since it is larger than the sum of its proper divisors (1256511704425).

11145340303031 is a wasteful number, since it uses less digits than its factorization.

11145340303031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59110834.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 11145340303031 its reverse (13030304354111), we get a palindrome (24175644657142).

The spelling of 11145340303031 in words is "eleven trillion, one hundred forty-five billion, three hundred forty million, three hundred three thousand, thirty-one".

Divisors: 1 11 61 281 671 3091 17141 188551 59110481 650215291 3605739341 16610045161 39663132751 182710496771 1013212754821 11145340303031