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11350214145 = 3251093137393
BaseRepresentation
bin10101001001000011…
…01000011000000001
31002022000102121201200
422210201220120001
5141221123323040
65114134251413
7551161141224
oct124441503001
932260377650
1011350214145
1148a4999976
1222491b6b69
1310bb65715a
147995d55bb
154666bb630
hex2a4868601

11350214145 has 48 divisors (see below), whose sum is σ = 19920323280. Its totient is φ = 5977939968.

The previous prime is 11350214137. The next prime is 11350214147. The reversal of 11350214145 is 54141205311.

11350214145 is a `hidden beast` number, since 1 + 1 + 3 + 502 + 14 + 145 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2686141584 + 8664072561 = 51828^2 + 93081^2 .

It is not a de Polignac number, because 11350214145 - 23 = 11350214137 is a prime.

It is a super-2 number, since 2×113502141452 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11350214147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531569 + ... + 1538961.

It is an arithmetic number, because the mean of its divisors is an integer number (415006735).

Almost surely, 211350214145 is an apocalyptic number.

11350214145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11350214145 is a deficient number, since it is larger than the sum of its proper divisors (8570109135).

11350214145 is a wasteful number, since it uses less digits than its factorization.

11350214145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7826 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11350214145 its reverse (54141205311), we get a palindrome (65491419456).

The spelling of 11350214145 in words is "eleven billion, three hundred fifty million, two hundred fourteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 109 313 327 545 939 981 1565 1635 2817 4695 4905 7393 14085 22179 34117 36965 66537 102351 110895 170585 307053 332685 511755 805837 1535265 2314009 2417511 4029185 6942027 7252533 11570045 12087555 20826081 34710135 36262665 104130405 252226981 756680943 1261134905 2270042829 3783404715 11350214145