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111120000312 = 23310487441499
BaseRepresentation
bin110011101111101000…
…1001010010100111000
3101121211010212212222010
41213133101022110320
53310033210002222
6123014155125520
711012441263326
oct1473721122470
9347733785863
10111120000312
1143142385a02
1219651a438a0
13a62b561199
145541c4ad16
152d555ce80c
hex19df44a538

111120000312 has 32 divisors (see below), whose sum is σ = 277827120000. Its totient is φ = 37036384224.

The previous prime is 111120000293. The next prime is 111120000331. The reversal of 111120000312 is 213000021111.

It is an interprime number because it is at equal distance from previous prime (111120000293) and next prime (111120000331).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 7 ways as a sum of consecutive naturals, for example, 30939 + ... + 472437.

It is an arithmetic number, because the mean of its divisors is an integer number (8682097500).

Almost surely, 2111120000312 is an apocalyptic number.

111120000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111120000312 is an abundant number, since it is smaller than the sum of its proper divisors (166707119688).

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

111120000312 is a wasteful number, since it uses less digits than its factorization.

111120000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451995 (or 451991 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 111120000312 its reverse (213000021111), we get a palindrome (324120021423).

The spelling of 111120000312 in words is "one hundred eleven billion, one hundred twenty million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 10487 20974 31461 41948 62922 83896 125844 251688 441499 882998 1324497 1765996 2648994 3531992 5297988 10595976 4630000013 9260000026 13890000039 18520000052 27780000078 37040000104 55560000156 111120000312