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1131230011120 = 245111285488649
BaseRepresentation
bin10000011101100010100…
…100000001111011110000
311000010220100211201011021
4100131202210001323300
5122013224340323440
62223402505025224
7144504635304436
oct20354244017360
94003810751137
101131230011120
113a682a939640
121632a6785214
138289cc418b1
143ca75014d56
151e65c59284a
hex10762901ef0

1131230011120 has 40 divisors (see below), whose sum is σ = 2869210666800. Its totient is φ = 411356367360.

The previous prime is 1131230011073. The next prime is 1131230011123. The reversal of 1131230011120 is 211100321311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×11312300111203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1131230011094 and 1131230011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131230011123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642743445 + ... + 642745204.

It is an arithmetic number, because the mean of its divisors is an integer number (71730266670).

Almost surely, 21131230011120 is an apocalyptic number.

1131230011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131230011120 is an abundant number, since it is smaller than the sum of its proper divisors (1737980655680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131230011120 is a wasteful number, since it uses less digits than its factorization.

1131230011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285488673 (or 1285488667 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1131230011120 its reverse (211100321311), we get a palindrome (1342330332431).

The spelling of 1131230011120 in words is "one trillion, one hundred thirty-one billion, two hundred thirty million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1285488649 2570977298 5141954596 6427443245 10283909192 12854886490 14140375139 20567818384 25709772980 28280750278 51419545960 56561500556 70701875695 102839091920 113123001112 141403751390 226246002224 282807502780 565615005560 1131230011120