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1131013310301 = 33717123349483
BaseRepresentation
bin10000011101010101101…
…001011000011101011101
311000010100021002011112000
4100131111221120131131
5122012303401412201
62223325204232513
7144466364341560
oct20352551303535
94003307064460
101131013310301
113a672958a056
1216324609b739
138286708aa64
143ca543264d7
151e648539d86
hex10755a5875d

1131013310301 has 32 divisors (see below), whose sum is σ = 1915060485120. Its totient is φ = 646253726832.

The previous prime is 1131013310281. The next prime is 1131013310303. The reversal of 1131013310301 is 1030133101311.

1131013310301 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 1 + 331 + 0 + 301 = 666.

It is not a de Polignac number, because 1131013310301 - 26 = 1131013310237 is a prime.

It is a super-2 number, since 2×11310133103012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131013310303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3061506 + ... + 3410988.

It is an arithmetic number, because the mean of its divisors is an integer number (59845640160).

Almost surely, 21131013310301 is an apocalyptic number.

It is an amenable number.

1131013310301 is a deficient number, since it is larger than the sum of its proper divisors (784047174819).

1131013310301 is a wasteful number, since it uses less digits than its factorization.

1131013310301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366622 (or 366616 counting only the distinct ones).

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

Adding to 1131013310301 its reverse (1030133101311), we get a palindrome (2161146411612).

The spelling of 1131013310301 in words is "one trillion, one hundred thirty-one billion, thirteen million, three hundred ten thousand, three hundred one".

Divisors: 1 3 7 9 21 27 63 189 17123 51369 119861 154107 349483 359583 462321 1048449 1078749 2446381 3145347 3236247 7339143 9436041 22017429 66052287 5984197409 17952592227 41889381863 53857776681 125668145589 161573330043 377004436767 1131013310301