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11015064403431 = 3112711087393181
BaseRepresentation
bin1010000001001010010100…
…0000000011110111100111
31110000000210202222122220020
42200102211000003313213
52420432322441402211
635232130054010223
72214545364410004
oct240224500036747
943000722878806
1011015064403431
11356750a76a200
12129a962946973
1361b9403cc43a
142a11bc1628ab
151417d8e91306
hexa04a5003de7

11015064403431 has 48 divisors (see below), whose sum is σ = 16385762340864. Its totient is φ = 6575699592000.

The previous prime is 11015064403429. The next prime is 11015064403439. The reversal of 11015064403431 is 13430446051011.

It is not a de Polignac number, because 11015064403431 - 21 = 11015064403429 is a prime.

It is a super-2 number, since 2×110150644034312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11015064403392 and 11015064403401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11015064403439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27818661 + ... + 28211841.

It is an arithmetic number, because the mean of its divisors is an integer number (341370048768).

Almost surely, 211015064403431 is an apocalyptic number.

11015064403431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11015064403431 is a deficient number, since it is larger than the sum of its proper divisors (5370697937433).

11015064403431 is a wasteful number, since it uses less digits than its factorization.

11015064403431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394364 (or 394353 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 11015064403431 in words is "eleven trillion, fifteen billion, sixty-four million, four hundred three thousand, four hundred thirty-one".

Divisors: 1 3 11 33 71 121 213 363 781 1087 2343 3261 8591 11957 25773 35871 77177 131527 231531 393181 394581 848947 1179543 2546841 4324991 9338417 12974973 27915851 28015251 47574901 83747553 142724703 307074361 427387747 921223083 1282163241 3377817971 4701265217 10133453913 14103795651 30344530037 51713917387 91033590111 155141752161 333789830407 1001369491221 3671688134477 11015064403431