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1135045110150 = 2325273187113063
BaseRepresentation
bin10000100001000101111…
…101011110100110000110
311000111202020121211011100
4100201011331132212012
5122044033022011100
62225233231520530
7145001322151230
oct20410575364606
94014666554140
101135045110150
113a8408412a46
12163b90389146
138305a464743
143cd17997250
151e7d2492400
hex10845f5e986

1135045110150 has 144 divisors (see below), whose sum is σ = 3486253365504. Its totient is φ = 259355183040.

The previous prime is 1135045110139. The next prime is 1135045110163. The reversal of 1135045110150 is 510115405311.

1135045110150 is a `hidden beast` number, since 1 + 1 + 3 + 50 + 451 + 10 + 150 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9982519 + ... + 10095581.

It is an arithmetic number, because the mean of its divisors is an integer number (24210092816).

Almost surely, 21135045110150 is an apocalyptic number.

1135045110150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135045110150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743126682752).

1135045110150 is an abundant number, since it is smaller than the sum of its proper divisors (2351208255354).

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

1135045110150 is a wasteful number, since it uses less digits than its factorization.

1135045110150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116275 (or 116267 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 1135045110150 in words is "one trillion, one hundred thirty-five billion, forty-five million, one hundred ten thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 3187 6374 9561 15935 19122 22309 28683 31870 44618 47805 57366 66927 79675 95610 111545 113063 133854 143415 159350 200781 223090 226126 239025 286830 334635 339189 401562 478050 557725 565315 669270 678378 717075 791441 1003905 1017567 1115450 1130630 1434150 1582882 1673175 1695945 2007810 2035134 2374323 2826575 3346350 3391890 3957205 4748646 5019525 5087835 5653150 7122969 7914410 8479725 10039050 10175670 11871615 14245938 16959450 19786025 23743230 25439175 35614845 39572050 50878350 59358075 71229690 118716150 178074225 356148450 360331781 720663562 1080995343 1801658905 2161990686 2522322467 3242986029 3603317810 5044644934 5404976715 6485972058 7566967401 9008294525 10809953430 12611612335 15133934802 16214930145 18016589050 22700902203 25223224670 27024883575 32429860290 37834837005 45401804406 54049767150 63058061675 75669674010 81074650725 113504511015 126116123350 162149301450 189174185025 227009022030 378348370050 567522555075 1135045110150