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11381021319 = 329794793457
BaseRepresentation
bin10101001100101110…
…01001101010000111
31002101011101210020010
422212113021222013
5141302020140234
65121154441303
7552014041113
oct124627115207
932334353203
1011381021319
114910320848
122257593233
1310c4b52655
1479d734743
154692546e9
hex2a65c9a87

11381021319 has 32 divisors (see below), whose sum is σ = 15934464000. Its totient is φ = 7215796224.

The previous prime is 11381021317. The next prime is 11381021321. The reversal of 11381021319 is 91312018311.

11381021319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11381021317) and next prime (11381021321).

It is not a de Polignac number, because 11381021319 - 21 = 11381021317 is a prime.

It is a super-2 number, since 2×113810213192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11381021317) 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 31 ways as a sum of consecutive naturals, for example, 3290439 + ... + 3293895.

It is an arithmetic number, because the mean of its divisors is an integer number (497952000).

Almost surely, 211381021319 is an apocalyptic number.

11381021319 is a deficient number, since it is larger than the sum of its proper divisors (4553442681).

11381021319 is a wasteful number, since it uses less digits than its factorization.

11381021319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047.

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 11381021319 in words is "eleven billion, three hundred eighty-one million, twenty-one thousand, three hundred nineteen".

Divisors: 1 3 29 79 87 237 479 1437 2291 3457 6873 10371 13891 37841 41673 100253 113523 273103 300759 819309 1097389 1655903 3292167 4967709 7919987 23759961 48021187 130816337 144063561 392449011 3793673773 11381021319