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11312000014 = 272929411021
BaseRepresentation
bin10101000100011111…
…10110110000001110
31002012100112010210111
422202033312300032
5141131333000024
65110251230234
7550215261610
oct124217666016
932170463714
1011312000014
114885369047
12223844837a
1310b3767443
147944c8db0
1546316da94
hex2a23f6c0e

11312000014 has 48 divisors (see below), whose sum is σ = 20124782496. Its totient is φ = 4671273600.

The previous prime is 11311999969. The next prime is 11312000023. The reversal of 11312000014 is 41000021311.

11312000014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113120000142 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11311999958 and 11312000003.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11078824 + ... + 11079844.

It is an arithmetic number, because the mean of its divisors is an integer number (419266302).

Almost surely, 211312000014 is an apocalyptic number.

11312000014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11312000014 is a deficient number, since it is larger than the sum of its proper divisors (8812782482).

11312000014 is a wasteful number, since it uses less digits than its factorization.

11312000014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11312000014 its reverse (41000021311), we get a palindrome (52312021325).

The spelling of 11312000014 in words is "eleven billion, three hundred twelve million, fourteen", and thus it is an aban number.

Divisors: 1 2 7 14 29 58 203 406 841 941 1021 1682 1882 2042 5887 6587 7147 11774 13174 14294 27289 29609 54578 59218 191023 207263 382046 414526 791381 858661 960761 1582762 1717322 1921522 5539667 6010627 6725327 11079334 12021254 13450654 27862069 55724138 195034483 390068966 808000001 1616000002 5656000007 11312000014