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1133302303301 = 72329349969371
BaseRepresentation
bin10000011111011110000…
…101001100101001000101
311000100020210020001121112
4100133132011030221011
5122032000342201201
62224344253254405
7144610200430550
oct20373605145105
94010223201545
101133302303301
113a76a3672403
12163784794405
1382b4037ab9c
143cbd032b697
151e72e4850bb
hex107de14ca45

1133302303301 has 32 divisors (see below), whose sum is σ = 1398539520000. Its totient is φ = 896857536960.

The previous prime is 1133302303247. The next prime is 1133302303319. The reversal of 1133302303301 is 1033032033311.

It is a de Polignac number, because none of the positive numbers 2k-1133302303301 is a prime.

It is a super-2 number, since 2×11333023033012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133302303201) 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 31 ways as a sum of consecutive naturals, for example, 16302146 + ... + 16371516.

It is an arithmetic number, because the mean of its divisors is an integer number (43704360000).

Almost surely, 21133302303301 is an apocalyptic number.

It is an amenable number.

1133302303301 is a deficient number, since it is larger than the sum of its proper divisors (265237216699).

1133302303301 is a wasteful number, since it uses less digits than its factorization.

1133302303301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72929.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 1133302303301 its reverse (1033032033311), we get a palindrome (2166334336612).

The spelling of 1133302303301 in words is "one trillion, one hundred thirty-three billion, three hundred two million, three hundred three thousand, three hundred one".

Divisors: 1 7 23 29 161 203 667 3499 4669 24493 69371 80477 101471 485597 563339 710297 1595533 2011759 2333833 11168731 14082313 16336831 46270457 242729129 323893199 1699103903 5582769967 7039144741 39079389769 49274013187 161900329043 1133302303301