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1311120012 = 2233724112253
BaseRepresentation
bin100111000100110…
…0001101010001100
310101101002210112110
41032021201222030
510141121320022
6334033504020
744330223216
oct11611415214
93341083473
101311120012
11613102964
12307112010
1317b82c577
14c61b75b6
157a18a00c
hex4e261a8c

1311120012 has 48 divisors (see below), whose sum is σ = 3155257952. Its totient is φ = 423429120.

The previous prime is 1311120001. The next prime is 1311120043. The reversal of 1311120012 is 2100211131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1311120012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100878 + ... + 113130.

Almost surely, 21311120012 is an apocalyptic number.

1311120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311120012 is an abundant number, since it is smaller than the sum of its proper divisors (1844137940).

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

1311120012 is a wasteful number, since it uses less digits than its factorization.

1311120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12538 (or 12536 counting only the distinct ones).

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

The square root of 1311120012 is about 36209.3912127779. The cubic root of 1311120012 is about 1094.4959244484.

Adding to 1311120012 its reverse (2100211131), we get a palindrome (3411331143).

The spelling of 1311120012 in words is "one billion, three hundred eleven million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 241 444 482 723 964 1446 2892 8917 12253 17834 24506 26751 35668 36759 49012 53502 73518 107004 147036 453361 906722 1360083 1813444 2720166 2952973 5440332 5905946 8858919 11811892 17717838 35435676 109260001 218520002 327780003 437040004 655560006 1311120012