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110100111012 = 22323722233993
BaseRepresentation
bin110011010001001111…
…0100101111010100100
3101112012001210010212100
41212202132211322210
53300441112023022
6122325043252100
710645245334203
oct1464236457244
9345161703770
10110100111012
1142769707a91
121940837a030
13a4c817c0a8
14548660323a
152ce5cc01ac
hex19a27a5ea4

110100111012 has 54 divisors (see below), whose sum is σ = 286033889778. Its totient is φ = 35708128128.

The previous prime is 110100110983. The next prime is 110100111029. The reversal of 110100111012 is 210111001011.

It can be written as a sum of positive squares in 3 ways, for example, as 33920798976 + 76179312036 = 184176^2 + 276006^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110100110985 and 110100111003.

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 17 ways as a sum of consecutive naturals, for example, 1067713 + ... + 1166280.

Almost surely, 2110100111012 is an apocalyptic number.

110100111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110100111012 is an abundant number, since it is smaller than the sum of its proper divisors (175933778766).

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

110100111012 is a wasteful number, since it uses less digits than its factorization.

110100111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234077 (or 2234035 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110100111012 its reverse (210111001011), we get a palindrome (320211112023).

The spelling of 110100111012 in words is "one hundred ten billion, one hundred million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 5476 8214 12321 16428 24642 49284 2233993 4467986 6701979 8935972 13403958 20105937 26807916 40211874 80423748 82657741 165315482 247973223 330630964 495946446 743919669 991892892 1487839338 2975678676 3058336417 6116672834 9175009251 12233345668 18350018502 27525027753 36700037004 55050055506 110100111012